45 Times Table
What is the 45 times table?
Answer
Every row of the 45 times table is the row above it plus 45, so the table can be rebuilt from the first line instead of recalled whole. The whole grid from 1 to 10 is on the times table chart.
45 Times Table
| Multiplication | Product |
|---|---|
| 45 × 1 | 45 |
| 45 × 2 | 90 |
| 45 × 3 | 135 |
| 45 × 4 | 180 |
| 45 × 5 | 225 |
| 45 × 6 | 270 |
| 45 × 7 | 315 |
| 45 × 8 | 360 |
| 45 × 9 | 405 |
| 45 × 10 | 450 |
| 45 × 11 | 495 |
| 45 × 12 | 540 |
The table runs to ×12 because that is how far it is taught in Britain; ×10 is where most other school systems stop. The last two rows follow the same rule as the rest, one step at a time.
How to Get the Next Row
A times table is repeated addition written out, so the next row is always the current one plus 45. Nothing has to be remembered except the step.
45 × 1 = 45
45 + 45 = 90 → 45 × 2 = 90
90 + 45 = 135 → 45 × 3 = 135
45 × 12 = 540
Rows that come free
- ×5 is half of ×10: 45 × 5 = 450 ÷ 2 = 225.
- ×9 is ×10 minus the number: 45 × 9 = 450 − 45 = 405.
- ×11 is ×10 plus the number: 45 × 11 = 450 + 45 = 495.
- ×12 is ×10 plus ×2: 45 × 12 = 450 + 90 = 540.
Check It, and What It Is Not
Check by swapping the factors. 45 × 3 = 135 and 3 × 45 = 135 are the same product, so every row of this table appears in another table too, and the two have to agree.
A table is not long multiplication. This page lists one number times 1 to 12; for a product worked out digit by digit, with the carries and the partial products, follow 45 × 12 = 540 into the long multiplication calculator.
The reverse operation is division. Reading the table backwards — 135 ÷ 45 = 3 — is exactly what long division does step by step.
Related Calculations
See Also
- Long Multiplication Calculator - Column multiplication with partial products, step by step
- Long Division Calculator - Step-by-step long division with detailed explanation
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/times-table/45">45 Times Table - Chart and Tricks - Calculatio</a>
Times Tables Around 45
| Number | Times table |
|---|---|
| 11 | 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132 |
| 12 | 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144 |
| 13 | 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156 |
| 14 | 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168 |
| 15 | 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180 |
| 16 | 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192 |
| 17 | 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204 |
| 18 | 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216 |
| 19 | 19, 38, 57, 76, 95, 114, 133, 152, 171, 190, 209, 228 |
| 20 | 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240 |
| 24 | 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288 |
| 25 | 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300 |
| 30 | 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360 |
| 40 | 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480 |
| 45 | 45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, 540 |
| 50 | 50, 100, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600 |
| 60 | 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720 |
| 72 | 72, 144, 216, 288, 360, 432, 504, 576, 648, 720, 792, 864 |
| 80 | 80, 160, 240, 320, 400, 480, 560, 640, 720, 800, 880, 960 |
| 100 | 100, 200, 300, 400, 500, 600, 700, 800, 900, 1,000, 1,100, 1,200 |