8 Times Table Chart & Multiplication Guide
8 Times Table Calculator
Understanding the 8 Times Table Chart
The 8 times table chart, also called the 8 multiplication chart or 8× table, displays every product that results from multiplying the number 8 by the integers 1 through 12 and beyond. Mastering this chart is a foundational milestone in elementary mathematics. Because 8 is a power of 2, it sits at the crossroads of several arithmetic strategies — doubling, halving, and binary decomposition — that make mental computation faster and more intuitive. Students who internalise the 8 times table gain a measurable advantage in division, fractions, and algebra readiness, according to research published by the National Council of Teachers of Mathematics (NCTM).
In the United Kingdom's Year 4 Multiplication Tables Check (MTC), the 8 times table is among the most frequently tested sets. In the United States, Common Core standards expect fluency with all single-digit products by the end of Grade 3. Whether you are a parent helping with homework, a teacher looking for a printable 8 times table chart, or a student seeking practice, this interactive tool and guide will walk you through every fact, pattern, and shortcut you need.
Why the 8 Times Table Matters:
- Doubling mastery: Understanding 8× builds powerful number sense through repeated doubling
- Curriculum requirement: Part of the UK Year 4 MTC and US Common Core Grade 3 standards
- Real-world applications: Octaves in music, computer bytes (8 bits), measurement conversions
- Mental arithmetic: Quick calculations using the triple-doubling strategy
- Division fluency: Knowing 8× directly supports division by 8
- Pattern recognition: Even-number patterns strengthen mathematical reasoning
Complete 8 Times Table Chart (1–12)
The table below presents every multiplication fact from 8 × 1 through 8 × 12, along with the units-digit pattern and the doubling path that shows why each product works. Use this chart as a quick reference sheet, a revision aid, or a printable classroom poster.
| Multiplication | Product | Units Digit | Doubling Path |
|---|---|---|---|
| 8 × 1 | 8 | 8 | 1 → 2 → 4 → 8 |
| 8 × 2 | 16 | 6 | 2 → 4 → 8 → 16 |
| 8 × 3 | 24 | 4 | 3 → 6 → 12 → 24 |
| 8 × 4 | 32 | 2 | 4 → 8 → 16 → 32 |
| 8 × 5 | 40 | 0 | 5 → 10 → 20 → 40 |
| 8 × 6 | 48 | 8 | 6 → 12 → 24 → 48 |
| 8 × 7 | 56 | 6 | 7 → 14 → 28 → 56 |
| 8 × 8 | 64 | 4 | 8 → 16 → 32 → 64 |
| 8 × 9 | 72 | 2 | 9 → 18 → 36 → 72 |
| 8 × 10 | 80 | 0 | 10 → 20 → 40 → 80 |
| 8 × 11 | 88 | 8 | 11 → 22 → 44 → 88 |
| 8 × 12 | 96 | 6 | 12 → 24 → 48 → 96 |
Quick Reference – First 20 Multiples of 8:
8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160
Mathematical Foundation of 8× Multiplication
Understanding why the 8 times table works the way it does deepens your mathematical thinking. The number 8 can be expressed as a power of 2:
This means multiplying any number n by 8 is equivalent to doubling it three times:
The general formula for the n-th multiple of 8 is simply:
The relationship between the 8 times table and the 4 times table is equally elegant. Since 8 equals 4 multiplied by 2:
This relationship gives us a powerful shortcut: if you already know the 4 times table, simply double each answer to obtain the corresponding 8 times table fact. Similarly, because 8 is also 10 minus 2:
This decomposition — multiply by 10 then subtract the doubled number — offers yet another mental math strategy. For instance, to compute 8 × 7 mentally: calculate 70 − 14 = 56.
The Powerful Triple-Doubling Strategy
The single most effective trick for the 8 times table is the triple-doubling strategy. Because 8 equals 2 cubed, you can replace a difficult multiplication with three easy doublings.
Since , multiply by doubling THREE times:
Worked Example: 8 × 7
Alternative: use the 4× shortcut →
More Doubling Examples
- 8 × 3: 3 → 6 → 12 → 24
- 8 × 6: 6 → 12 → 24 → 48
- 8 × 9: 9 → 18 → 36 → 72
- 8 × 11: 11 → 22 → 44 → 88
- 8 × 12: 12 → 24 → 48 → 96
Fascinating Patterns in the 8 Times Table
Units-Digit Cycle
The last digit of every multiple of 8 follows a repeating cycle of five digits:
8, 6, 4, 2, 0, 8, 6, 4, 2, 0 …
Key observations:
- Every multiple of 8 is an even number (because 8 is even)
- The units digits decrease by 2 each step, cycling back after 0
- This pattern can help you verify your answers instantly
The Backward Counting Trick
Write the tens digits counting backward: 0, 7, 6, 5, 4, 4, 3, 2, 1, 0 (note the repeated 4)
Then write the units digits cycling by 2s: 8, 2, 4, 6, 0, 8, 2, 4, 6, 8
Read as two-digit numbers: 08, 72, 64, 56, 40, 48, 32, 24, 16,
08
That reconstructs the 8 times table!
Divisibility Rule for 8
A number is divisible by 8 if its last three digits form a number divisible by 8. For example, 1,024 is divisible by 8 because 024 ÷ 8 = 3. This rule connects directly to the 8 times table and is useful in number theory and everyday arithmetic.
8 Multiples Chart (Complete List 1–20)
Below is the complete grid of the first 20 multiples of 8, perfect for skip-counting practice and quick reference. Each multiple follows the formula .
How the 8 Times Table Connects to Other Tables
One of the most powerful ways to solidify your knowledge is to see how the 8 times table relates to other multiplication facts. These connections reduce the total number of facts you must memorise from scratch.
- 8× and 2×: Every 8× product is four times the corresponding 2× product.
- 8× and 4×: Every 8× product is double the corresponding 4× product.
- 8× and 16×: The 16 times table is simply double the 8 times table.
- 8× and 10×: Use the identity for mental math.
- 8× and 9×: Since 9 = 8 + 1, you can derive 9× from 8× easily.
Real-World Applications of the 8 Times Table
The 8 times table appears in numerous real-world contexts. Understanding these applications demonstrates that multiplication facts are not abstract exercises but practical tools used daily by professionals and in everyday life.
- Computing: 1 byte = 8 bits; data sizes are multiples of 8 (e.g., 64-bit processors = 8 × 8 bits)
- Music: An octave spans 8 notes; time signatures like 3/8 and 6/8 rely on divisions of 8
- Packaging: Products often come in packs of 8 — hot-dog buns, crayons, batteries
- Cooking: Recipes for 8 servings require scaling ingredient quantities by 8×
- Sports: Rowing crews have 8 rowers; chess boards are 8 × 8 = 64 squares
- Measurement: There are 8 pints in a gallon, 8 furlongs in a mile
- Money: Calculating prices for groups of 8 items or 8-unit packages
Tips for Mastering the 8 Times Table
Proven Learning Strategies:
- Master the 4 times table first: Since 8 = 2 × 4, doubling 4× answers gives you 8× instantly
- Use triple doubling: Double, double, double for any 8× fact
- Learn the units pattern: 8, 6, 4, 2, 0 repeats every 5 multiples
- Apply the 10n − 2n shortcut: Multiply by 10 then subtract twice the number
- Practice daily: 10–15 minutes of daily practice beats occasional long sessions
- Skip count by 8s aloud: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96
- Use rhymes: "Seven eights are fifty-six, like picking up sticks"
- Test yourself with the quiz above: Build automaticity through timed practice
