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Multiplication lookup & factor pairs
Enter two factors to find their product — the matching cell lights up in the grid above — and enter any number up to 144 to list every pair of whole numbers that multiply to it.
REFERENCE TABLE · MATH · MULTIPLICATION
Multiplication Table 1–12 (Printable)
Every product from 1 × 1 to 12 × 12 in one printable grid — square numbers bolded down the diagonal. Find row 7, column 8 → 56, look up any product live below, or list every factor pair of a number (36 → 1×36, 2×18, 3×12, 4×9, 6×6).
The full 12 × 12 grid
How to read it: run your finger down the left column to the first factor, across the top row to the second factor, and read where they meet. Row 7 × column 8 = 56. The bold diagonal marks the square numbers — 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144 — the anchors every other fact hangs on. The grid is mirror-symmetric: 7 × 8 and 8 × 7 land on the same 56.
| × | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
| 2 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 20 | 22 | 24 |
| 3 | 3 | 6 | 9 | 12 | 15 | 18 | 21 | 24 | 27 | 30 | 33 | 36 |
| 4 | 4 | 8 | 12 | 16 | 20 | 24 | 28 | 32 | 36 | 40 | 44 | 48 |
| 5 | 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50 | 55 | 60 |
| 6 | 6 | 12 | 18 | 24 | 30 | 36 | 42 | 48 | 54 | 60 | 66 | 72 |
| 7 | 7 | 14 | 21 | 28 | 35 | 42 | 49 | 56 | 63 | 70 | 77 | 84 |
| 8 | 8 | 16 | 24 | 32 | 40 | 48 | 56 | 64 | 72 | 80 | 88 | 96 |
| 9 | 9 | 18 | 27 | 36 | 45 | 54 | 63 | 72 | 81 | 90 | 99 | 108 |
| 10 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 | 110 | 120 |
| 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 |
Tip: use your browser’s print button (or the print button above) for a clean one-page copy — ads, navigation, and buttons are hidden automatically.
The 60-second rule
Row × column = the cell where they meet. Want 7 × 8? Find 7 down the left edge, 8 across the top, and read 56 where row and column cross. Want every way to make 36? Walk the whole grid for cells reading 36 — you’ll find 1×36, 2×18, 3×12, 4×9, and 6×6. Five pairs, and the lookup above lists them instantly.
Learn one table at a time: 1, 2, 5, 10 first
Don’t memorize 144 facts — memorize 4 tables, then build. The 1s change nothing, the 2s are just doubling, the 5s end in 5 or 0, and the 10s add a zero. That’s nearly half the grid for almost no effort. Next add the 3s and 4s (the 4s are just doubling the 2s). The squares — 6×6=36, 7×7=49, 8×8=64, 9×9=81 — are your anchors for the hard middle: 7×8 is one 7 more than 7×7, so 49 + 7 = 56. The last four facts standing are 6×7, 6×8, 7×8, and 8×9 — learn those four and you know the whole table.
The worked example, line by line
Lookup: first factor 7, second factor 8. Row 7 across: 7, 14, 21, 28, 35, 42, 49, 56 — the 8th entry is 56. Check it against the anchor: 7 × 7 = 49, plus one more 7 = 56. The matching cell lights up in the grid.
Factor pairs of 36: test each whole number from 1 up to √36 = 6 and keep the ones that divide 36 evenly. 1 → 1×36; 2 → 2×18; 3 → 3×12; 4 → 4×9; 5 doesn’t divide 36; 6 → 6×6. Five pairs — and because 36 is a square, the last pair is a double.
Output · formula · meaning
| Output | Formula | What it means |
|---|---|---|
| Product | first factor × second factor | 56 at the defaults — the cell at row 7, column 8. |
| Factor pairs | every d ≤ √N with N ÷ d whole | 5 pairs for 36: 1×36, 2×18, 3×12, 4×9, 6×6. |
| Pair count | number of pairs found | Tells you at a glance whether a number has many divisors (36 → 5) or is prime (13 → 1: just 1×13). |
Who uses this
- The 3rd-grader drilling times tables: learns the 1, 2, 5, 10 tables first, then uses the grid to check homework — 7 × 8 = 56, confirmed in one glance.
- The parent helping with homework: prints the grid for the fridge and uses the factor-pair finder to explain why 36 has five pairs but 37 has only one.
- The teacher building a quiz: pulls the last four hard facts (6×7, 6×8, 7×8, 8×9) for the weekly speed drill.
- The adult brushing up: re-learns the table properly this time — anchors and patterns instead of 144 isolated facts.
Accuracy & limitations
Every product on the 1–12 grid is exact — integer multiplication has no rounding, no estimates, no edge cases. The limits are the grid’s edges: factors must be whole numbers from 1 to 12, and factor-pair searches top out at 144. The table is a reference, not a teacher: it gives answers but the patterns section above is what actually builds fluency. For products beyond 12 × 12, break them apart (13 × 7 = 10 × 7 + 3 × 7 = 91) rather than memorizing a bigger grid.
Cite this calculator Bright Side Kit. “Multiplication Table 1–12: Printable Chart & Lookup.” brightoolbox.com, 2026.
Bright Side Kit. "Multiplication Table 1–12: Printable Chart & Lookup." https://brightoolbox.com/multiplication-table/ Accessed October 23, 2026.Frequently asked questions
How do I read the multiplication table?
Row × column = the cell where they meet. Find the first number down the left edge, the second across the top, and read the crossing cell. Row 7, column 8 → 56. It works either way round: row 8, column 7 is also 56.
What are factor pairs?
Every pair of whole numbers that multiply to your number. The factor pairs of 36 are 1×36, 2×18, 3×12, 4×9, and 6×6. To find them by hand, test each whole number from 1 up to the square root and keep the ones that divide evenly.
Why learn the 1, 2, 5, and 10 tables first?
They’re nearly free and they unlock the rest. The 1s change nothing, the 2s are doubling, the 5s end in 5 or 0, the 10s add a zero. The 4s are just doubling the 2s, and the 3s build on the 2s. Learn these and only a handful of hard facts — 6×7, 7×8, 8×9 — are left.
What is 7 × 8?
56. The classic stumper. Anchor it to the square next door: 7 × 7 = 49, plus one more 7 = 56. Or check row 7, column 8 on the grid.
How do I print the table?
Use the print button above or your browser’s print command. The page switches to a clean print layout automatically — navigation, ads, and buttons are hidden, leaving just the grid and the lookup results.
What if my number is bigger than 144?
Break it apart instead of memorizing more. 13 × 7 = (10 × 7) + (3 × 7) = 70 + 21 = 91. The 12 × 12 grid plus the distributive trick covers everything you’ll meet by hand.