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Prime Number
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Even Number
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×123456789101112
11
1 × 1 = 1
Type: Odd , Perfect Square (1²)
Prime Factorization: 1
All Factors: 1
2
1 × 2 = 2
Type: Even , Prime Number
Prime Factorization: 2
All Factors: 1, 2
3
1 × 3 = 3
Type: Odd , Prime Number
Prime Factorization: 3
All Factors: 1, 3
4
1 × 4 = 4
Type: Even , Perfect Square (2²)
Prime Factorization: 22
All Factors: 1, 2, 4
5
1 × 5 = 5
Type: Odd , Prime Number
Prime Factorization: 5
All Factors: 1, 5
6
1 × 6 = 6
Type: Even
Prime Factorization: 2 × 3
All Factors: 1, 2, 3, 6
7
1 × 7 = 7
Type: Odd , Prime Number
Prime Factorization: 7
All Factors: 1, 7
8
1 × 8 = 8
Type: Even
Prime Factorization: 23
All Factors: 1, 2, 4, 8
9
1 × 9 = 9
Type: Odd , Perfect Square (3²)
Prime Factorization: 32
All Factors: 1, 3, 9
10
1 × 10 = 10
Type: Even
Prime Factorization: 2 × 5
All Factors: 1, 2, 5, 10
11
1 × 11 = 11
Type: Odd , Prime Number
Prime Factorization: 11
All Factors: 1, 11
12
1 × 12 = 12
Type: Even
Prime Factorization: 22 × 3
All Factors: 1, 2, 3, 4, 6, 12
22
2 × 1 = 2
Type: Even , Prime Number
Prime Factorization: 2
All Factors: 1, 2
4
2 × 2 = 4
Type: Even , Perfect Square (2²)
Prime Factorization: 22
All Factors: 1, 2, 4
6
2 × 3 = 6
Type: Even
Prime Factorization: 2 × 3
All Factors: 1, 2, 3, 6
8
2 × 4 = 8
Type: Even
Prime Factorization: 23
All Factors: 1, 2, 4, 8
10
2 × 5 = 10
Type: Even
Prime Factorization: 2 × 5
All Factors: 1, 2, 5, 10
12
2 × 6 = 12
Type: Even
Prime Factorization: 22 × 3
All Factors: 1, 2, 3, 4, 6, 12
14
2 × 7 = 14
Type: Even
Prime Factorization: 2 × 7
All Factors: 1, 2, 7, 14
16
2 × 8 = 16
Type: Even , Perfect Square (4²)
Prime Factorization: 24
All Factors: 1, 2, 4, 8, 16
18
2 × 9 = 18
Type: Even
Prime Factorization: 2 × 32
All Factors: 1, 2, 3, 6, 9, 18
20
2 × 10 = 20
Type: Even
Prime Factorization: 22 × 5
All Factors: 1, 2, 4, 5, 10, 20
22
2 × 11 = 22
Type: Even
Prime Factorization: 2 × 11
All Factors: 1, 2, 11, 22
24
2 × 12 = 24
Type: Even
Prime Factorization: 23 × 3
All Factors: 1, 2, 3, 4, 6, 8, 12, 24
33
3 × 1 = 3
Type: Odd , Prime Number
Prime Factorization: 3
All Factors: 1, 3
6
3 × 2 = 6
Type: Even
Prime Factorization: 2 × 3
All Factors: 1, 2, 3, 6
9
3 × 3 = 9
Type: Odd , Perfect Square (3²)
Prime Factorization: 32
All Factors: 1, 3, 9
12
3 × 4 = 12
Type: Even
Prime Factorization: 22 × 3
All Factors: 1, 2, 3, 4, 6, 12
15
3 × 5 = 15
Type: Odd
Prime Factorization: 3 × 5
All Factors: 1, 3, 5, 15
18
3 × 6 = 18
Type: Even
Prime Factorization: 2 × 32
All Factors: 1, 2, 3, 6, 9, 18
21
3 × 7 = 21
Type: Odd
Prime Factorization: 3 × 7
All Factors: 1, 3, 7, 21
24
3 × 8 = 24
Type: Even
Prime Factorization: 23 × 3
All Factors: 1, 2, 3, 4, 6, 8, 12, 24
27
3 × 9 = 27
Type: Odd
Prime Factorization: 33
All Factors: 1, 3, 9, 27
30
3 × 10 = 30
Type: Even
Prime Factorization: 2 × 3 × 5
All Factors: 1, 2, 3, 5, 6, 10, 15, 30
33
3 × 11 = 33
Type: Odd
Prime Factorization: 3 × 11
All Factors: 1, 3, 11, 33
36
3 × 12 = 36
Type: Even , Perfect Square (6²)
Prime Factorization: 22 × 32
All Factors: 1, 2, 3, 4, 6, 9, 12, 18, 36
44
4 × 1 = 4
Type: Even , Perfect Square (2²)
Prime Factorization: 22
All Factors: 1, 2, 4
8
4 × 2 = 8
Type: Even
Prime Factorization: 23
All Factors: 1, 2, 4, 8
12
4 × 3 = 12
Type: Even
Prime Factorization: 22 × 3
All Factors: 1, 2, 3, 4, 6, 12
16
4 × 4 = 16
Type: Even , Perfect Square (4²)
Prime Factorization: 24
All Factors: 1, 2, 4, 8, 16
20
4 × 5 = 20
Type: Even
Prime Factorization: 22 × 5
All Factors: 1, 2, 4, 5, 10, 20
24
4 × 6 = 24
Type: Even
Prime Factorization: 23 × 3
All Factors: 1, 2, 3, 4, 6, 8, 12, 24
28
4 × 7 = 28
Type: Even
Prime Factorization: 22 × 7
All Factors: 1, 2, 4, 7, 14, 28
32
4 × 8 = 32
Type: Even
Prime Factorization: 25
All Factors: 1, 2, 4, 8, 16, 32
36
4 × 9 = 36
Type: Even , Perfect Square (6²)
Prime Factorization: 22 × 32
All Factors: 1, 2, 3, 4, 6, 9, 12, 18, 36
40
4 × 10 = 40
Type: Even
Prime Factorization: 23 × 5
All Factors: 1, 2, 4, 5, 8, 10, 20, 40
44
4 × 11 = 44
Type: Even
Prime Factorization: 22 × 11
All Factors: 1, 2, 4, 11, 22, 44
48
4 × 12 = 48
Type: Even
Prime Factorization: 24 × 3
All Factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
55
5 × 1 = 5
Type: Odd , Prime Number
Prime Factorization: 5
All Factors: 1, 5
10
5 × 2 = 10
Type: Even
Prime Factorization: 2 × 5
All Factors: 1, 2, 5, 10
15
5 × 3 = 15
Type: Odd
Prime Factorization: 3 × 5
All Factors: 1, 3, 5, 15
20
5 × 4 = 20
Type: Even
Prime Factorization: 22 × 5
All Factors: 1, 2, 4, 5, 10, 20
25
5 × 5 = 25
Type: Odd , Perfect Square (5²)
Prime Factorization: 52
All Factors: 1, 5, 25
30
5 × 6 = 30
Type: Even
Prime Factorization: 2 × 3 × 5
All Factors: 1, 2, 3, 5, 6, 10, 15, 30
35
5 × 7 = 35
Type: Odd
Prime Factorization: 5 × 7
All Factors: 1, 5, 7, 35
40
5 × 8 = 40
Type: Even
Prime Factorization: 23 × 5
All Factors: 1, 2, 4, 5, 8, 10, 20, 40
45
5 × 9 = 45
Type: Odd
Prime Factorization: 32 × 5
All Factors: 1, 3, 5, 9, 15, 45
50
5 × 10 = 50
Type: Even
Prime Factorization: 2 × 52
All Factors: 1, 2, 5, 10, 25, 50
55
5 × 11 = 55
Type: Odd
Prime Factorization: 5 × 11
All Factors: 1, 5, 11, 55
60
5 × 12 = 60
Type: Even
Prime Factorization: 22 × 3 × 5
All Factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
66
6 × 1 = 6
Type: Even
Prime Factorization: 2 × 3
All Factors: 1, 2, 3, 6
12
6 × 2 = 12
Type: Even
Prime Factorization: 22 × 3
All Factors: 1, 2, 3, 4, 6, 12
18
6 × 3 = 18
Type: Even
Prime Factorization: 2 × 32
All Factors: 1, 2, 3, 6, 9, 18
24
6 × 4 = 24
Type: Even
Prime Factorization: 23 × 3
All Factors: 1, 2, 3, 4, 6, 8, 12, 24
30
6 × 5 = 30
Type: Even
Prime Factorization: 2 × 3 × 5
All Factors: 1, 2, 3, 5, 6, 10, 15, 30
36
6 × 6 = 36
Type: Even , Perfect Square (6²)
Prime Factorization: 22 × 32
All Factors: 1, 2, 3, 4, 6, 9, 12, 18, 36
42
6 × 7 = 42
Type: Even
Prime Factorization: 2 × 3 × 7
All Factors: 1, 2, 3, 6, 7, 14, 21, 42
48
6 × 8 = 48
Type: Even
Prime Factorization: 24 × 3
All Factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
54
6 × 9 = 54
Type: Even
Prime Factorization: 2 × 33
All Factors: 1, 2, 3, 6, 9, 18, 27, 54
60
6 × 10 = 60
Type: Even
Prime Factorization: 22 × 3 × 5
All Factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
66
6 × 11 = 66
Type: Even
Prime Factorization: 2 × 3 × 11
All Factors: 1, 2, 3, 6, 11, 22, 33, 66
72
6 × 12 = 72
Type: Even
Prime Factorization: 23 × 32
All Factors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
77
7 × 1 = 7
Type: Odd , Prime Number
Prime Factorization: 7
All Factors: 1, 7
14
7 × 2 = 14
Type: Even
Prime Factorization: 2 × 7
All Factors: 1, 2, 7, 14
21
7 × 3 = 21
Type: Odd
Prime Factorization: 3 × 7
All Factors: 1, 3, 7, 21
28
7 × 4 = 28
Type: Even
Prime Factorization: 22 × 7
All Factors: 1, 2, 4, 7, 14, 28
35
7 × 5 = 35
Type: Odd
Prime Factorization: 5 × 7
All Factors: 1, 5, 7, 35
42
7 × 6 = 42
Type: Even
Prime Factorization: 2 × 3 × 7
All Factors: 1, 2, 3, 6, 7, 14, 21, 42
49
7 × 7 = 49
Type: Odd , Perfect Square (7²)
Prime Factorization: 72
All Factors: 1, 7, 49
56
7 × 8 = 56
Type: Even
Prime Factorization: 23 × 7
All Factors: 1, 2, 4, 7, 8, 14, 28, 56
63
7 × 9 = 63
Type: Odd
Prime Factorization: 32 × 7
All Factors: 1, 3, 7, 9, 21, 63
70
7 × 10 = 70
Type: Even
Prime Factorization: 2 × 5 × 7
All Factors: 1, 2, 5, 7, 10, 14, 35, 70
77
7 × 11 = 77
Type: Odd
Prime Factorization: 7 × 11
All Factors: 1, 7, 11, 77
84
7 × 12 = 84
Type: Even
Prime Factorization: 22 × 3 × 7
All Factors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
88
8 × 1 = 8
Type: Even
Prime Factorization: 23
All Factors: 1, 2, 4, 8
16
8 × 2 = 16
Type: Even , Perfect Square (4²)
Prime Factorization: 24
All Factors: 1, 2, 4, 8, 16
24
8 × 3 = 24
Type: Even
Prime Factorization: 23 × 3
All Factors: 1, 2, 3, 4, 6, 8, 12, 24
32
8 × 4 = 32
Type: Even
Prime Factorization: 25
All Factors: 1, 2, 4, 8, 16, 32
40
8 × 5 = 40
Type: Even
Prime Factorization: 23 × 5
All Factors: 1, 2, 4, 5, 8, 10, 20, 40
48
8 × 6 = 48
Type: Even
Prime Factorization: 24 × 3
All Factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
56
8 × 7 = 56
Type: Even
Prime Factorization: 23 × 7
All Factors: 1, 2, 4, 7, 8, 14, 28, 56
64
8 × 8 = 64
Type: Even , Perfect Square (8²)
Prime Factorization: 26
All Factors: 1, 2, 4, 8, 16, 32, 64
72
8 × 9 = 72
Type: Even
Prime Factorization: 23 × 32
All Factors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
80
8 × 10 = 80
Type: Even
Prime Factorization: 24 × 5
All Factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
88
8 × 11 = 88
Type: Even
Prime Factorization: 23 × 11
All Factors: 1, 2, 4, 8, 11, 22, 44, 88
96
8 × 12 = 96
Type: Even
Prime Factorization: 25 × 3
All Factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
99
9 × 1 = 9
Type: Odd , Perfect Square (3²)
Prime Factorization: 32
All Factors: 1, 3, 9
18
9 × 2 = 18
Type: Even
Prime Factorization: 2 × 32
All Factors: 1, 2, 3, 6, 9, 18
27
9 × 3 = 27
Type: Odd
Prime Factorization: 33
All Factors: 1, 3, 9, 27
36
9 × 4 = 36
Type: Even , Perfect Square (6²)
Prime Factorization: 22 × 32
All Factors: 1, 2, 3, 4, 6, 9, 12, 18, 36
45
9 × 5 = 45
Type: Odd
Prime Factorization: 32 × 5
All Factors: 1, 3, 5, 9, 15, 45
54
9 × 6 = 54
Type: Even
Prime Factorization: 2 × 33
All Factors: 1, 2, 3, 6, 9, 18, 27, 54
63
9 × 7 = 63
Type: Odd
Prime Factorization: 32 × 7
All Factors: 1, 3, 7, 9, 21, 63
72
9 × 8 = 72
Type: Even
Prime Factorization: 23 × 32
All Factors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
81
9 × 9 = 81
Type: Odd , Perfect Square (9²)
Prime Factorization: 34
All Factors: 1, 3, 9, 27, 81
90
9 × 10 = 90
Type: Even
Prime Factorization: 2 × 32 × 5
All Factors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
99
9 × 11 = 99
Type: Odd
Prime Factorization: 32 × 11
All Factors: 1, 3, 9, 11, 33, 99
108
9 × 12 = 108
Type: Even
Prime Factorization: 22 × 33
All Factors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
1010
10 × 1 = 10
Type: Even
Prime Factorization: 2 × 5
All Factors: 1, 2, 5, 10
20
10 × 2 = 20
Type: Even
Prime Factorization: 22 × 5
All Factors: 1, 2, 4, 5, 10, 20
30
10 × 3 = 30
Type: Even
Prime Factorization: 2 × 3 × 5
All Factors: 1, 2, 3, 5, 6, 10, 15, 30
40
10 × 4 = 40
Type: Even
Prime Factorization: 23 × 5
All Factors: 1, 2, 4, 5, 8, 10, 20, 40
50
10 × 5 = 50
Type: Even
Prime Factorization: 2 × 52
All Factors: 1, 2, 5, 10, 25, 50
60
10 × 6 = 60
Type: Even
Prime Factorization: 22 × 3 × 5
All Factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
70
10 × 7 = 70
Type: Even
Prime Factorization: 2 × 5 × 7
All Factors: 1, 2, 5, 7, 10, 14, 35, 70
80
10 × 8 = 80
Type: Even
Prime Factorization: 24 × 5
All Factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
90
10 × 9 = 90
Type: Even
Prime Factorization: 2 × 32 × 5
All Factors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
100
10 × 10 = 100
Type: Even , Perfect Square (10²)
Prime Factorization: 22 × 52
All Factors: 1, 2, 4, 5, 10, 20, 25, 50, 100
110
10 × 11 = 110
Type: Even
Prime Factorization: 2 × 5 × 11
All Factors: 1, 2, 5, 10, 11, 22, 55, 110
120
10 × 12 = 120
Type: Even
Prime Factorization: 23 × 3 × 5
All Factors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1111
11 × 1 = 11
Type: Odd , Prime Number
Prime Factorization: 11
All Factors: 1, 11
22
11 × 2 = 22
Type: Even
Prime Factorization: 2 × 11
All Factors: 1, 2, 11, 22
33
11 × 3 = 33
Type: Odd
Prime Factorization: 3 × 11
All Factors: 1, 3, 11, 33
44
11 × 4 = 44
Type: Even
Prime Factorization: 22 × 11
All Factors: 1, 2, 4, 11, 22, 44
55
11 × 5 = 55
Type: Odd
Prime Factorization: 5 × 11
All Factors: 1, 5, 11, 55
66
11 × 6 = 66
Type: Even
Prime Factorization: 2 × 3 × 11
All Factors: 1, 2, 3, 6, 11, 22, 33, 66
77
11 × 7 = 77
Type: Odd
Prime Factorization: 7 × 11
All Factors: 1, 7, 11, 77
88
11 × 8 = 88
Type: Even
Prime Factorization: 23 × 11
All Factors: 1, 2, 4, 8, 11, 22, 44, 88
99
11 × 9 = 99
Type: Odd
Prime Factorization: 32 × 11
All Factors: 1, 3, 9, 11, 33, 99
110
11 × 10 = 110
Type: Even
Prime Factorization: 2 × 5 × 11
All Factors: 1, 2, 5, 10, 11, 22, 55, 110
121
11 × 11 = 121
Type: Odd , Perfect Square (11²)
Prime Factorization: 112
All Factors: 1, 11, 121
132
11 × 12 = 132
Type: Even
Prime Factorization: 22 × 3 × 11
All Factors: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1212
12 × 1 = 12
Type: Even
Prime Factorization: 22 × 3
All Factors: 1, 2, 3, 4, 6, 12
24
12 × 2 = 24
Type: Even
Prime Factorization: 23 × 3
All Factors: 1, 2, 3, 4, 6, 8, 12, 24
36
12 × 3 = 36
Type: Even , Perfect Square (6²)
Prime Factorization: 22 × 32
All Factors: 1, 2, 3, 4, 6, 9, 12, 18, 36
48
12 × 4 = 48
Type: Even
Prime Factorization: 24 × 3
All Factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
60
12 × 5 = 60
Type: Even
Prime Factorization: 22 × 3 × 5
All Factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
72
12 × 6 = 72
Type: Even
Prime Factorization: 23 × 32
All Factors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
84
12 × 7 = 84
Type: Even
Prime Factorization: 22 × 3 × 7
All Factors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
96
12 × 8 = 96
Type: Even
Prime Factorization: 25 × 3
All Factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
108
12 × 9 = 108
Type: Even
Prime Factorization: 22 × 33
All Factors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
120
12 × 10 = 120
Type: Even
Prime Factorization: 23 × 3 × 5
All Factors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
132
12 × 11 = 132
Type: Even
Prime Factorization: 22 × 3 × 11
All Factors: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
144
12 × 12 = 144
Type: Even , Perfect Square (12²)
Prime Factorization: 24 × 32
All Factors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Mathematical Patterns in Multiplication Tables

Multiplication tables reveal many fascinating mathematical patterns:

  • Perfect Squares: Numbers that are the product of a number multiplied by itself (e.g., 1×1=1, 2×2=4). They form a diagonal line across the table.
  • Commutative Property: The table demonstrates that a×b = b×a, creating a symmetry across the diagonal.
  • Multiples: Each row and column shows the multiples of a particular number, revealing patterns in counting.
  • Even and Odd Patterns: Products of two even numbers or two odd numbers are always even. The product of an even and odd number is always even.

Specific Patterns in Your Current Table:

  • Multiples of 10: Multiples of 10 always end in zero, making them easy to recognize.
  • Multiples of 5: Multiples of 5 always end in either 0 or 5.
  • Multiples of 9: The digits in multiples of 9 always sum to 9 or a multiple of 9.
  • Multiples of 11: In the 11 times table up to 11×9, the product consists of repeated digits (e.g., 11×2=22, 11×3=33).

Real-World Applications:

  • Shopping: Calculating the total cost of multiple items of the same price.
  • Cooking: Adjusting recipes for different numbers of servings.
  • Construction: Determining materials needed based on area calculations.
  • Time Management: Calculating total time for repeated tasks.

Learning Strategies:

  • Look for Patterns: Notice how multiples follow predictable sequences.
  • Use Skip Counting: Practice counting by 2s, 3s, 5s, etc.
  • Memorize Key Facts: Focus on learning the products of small numbers first.
  • Understand Commutative Property: 4×7 is the same as 7×4, reducing the facts you need to memorize.
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