How does the Long Multiplication work?

Write the numbers with the larger on top Then: Multiply the top number by the ones digit of the bottom number Then: Multiply the top number by the tens digit, shifting left by one place Then: Continue for each digit of the bottom number.

Can you give an example of how to use the Long Multiplication?

Example: Input 47 × 36 gives a result of 1,692 (47×6=282, 47×30=1410, sum=1692).

Is the Long Multiplication free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Long Multiplication?

Our Long Multiplication uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

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Long Multiplication

Long Multiplication (with steps)

First number

Second number

Long multiplication is a written method for multiplying large numbers by breaking the problem into single-digit multiplications, then summing the partial products with correct place-value offsets.

×	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
5	5	10	15	20	25	30	35	40	45	50	55	60
9	9	18	27	36	45	54	63	72	81	90	99	108
12	12	24	36	48	60	72	84	96	108	120	132	144

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Pro Tip

Round one factor to estimate: 47×36 ≈ 50×36=1,800. Your exact answer should be close to this.

References

›Multiplication algorithm — Wikipedia

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Long Multiplication

Long Multiplication (with steps)

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Multiplication Table — 1 to 12

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Long Multiplication (with steps)

×	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
5	5	10	15	20	25	30	35	40	45	50	55	60
9	9	18	27	36	45	54	63	72	81	90	99	108
12	12	24	36	48	60	72	84	96	108	120	132	144

×	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
5	5	10	15	20	25	30	35	40	45	50	55	60
9	9	18	27	36	45	54	63	72	81	90	99	108
12	12	24	36	48	60	72	84	96	108	120	132	144

×	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
5	5	10	15	20	25	30	35	40	45	50	55	60
9	9	18	27	36	45	54	63	72	81	90	99	108
12	12	24	36	48	60	72	84	96	108	120	132	144