# Long Multiplication Calculator

## Calculator Use

Enter positive whole numbers for multiplicand and multiplier to calculate the product using long multiplication. See the work for the solution.

## How To Do Long Multiplication

Long multiplication means you're doing multiplication by hand. The traditional method involves multiplying numbers and lining up results according to place value. These are the steps to do long multiplication by hand:

- Arrange your numbers with the larger number on top and the smaller number on bottom. Line up the place values of the numbers in columns.
- Starting with the ones digit of the bottom number, multiply it by the last digit in the top number
- Write the answer below the equals line
- If that answer is greater than nine, write the ones place as the answer and carry the tens digit
- Proceed right to left. Multiply the ones digit of the bottom number to the next digit to the left in the top number. If you carried a digit, add it to the result and write the answer below the equals line. If you need to carry again, do so.
- When you've multiplied the ones digit by every digit in the top number, move to the tens digit in the smaller number.
- Multiply as above, but this time write your answers in a new row, shifted one digit place to the left.
- When you finish multiplying, draw another answer line below your last row of answer numbers.
- Use long addition to add your number columns from right to left, carrying as you normally do for long addition.

## Long Multiplication Example: Multiply 234 by 56

**Long Multiplication Steps:**

Stack the numbers with the larger number on top. Align the numbers by place value columns.

Multiply the ones digit in the bottom number by each digit in the top number

6 × 4 = 24

Put the 4 in Ones place

Carry the 2 to Tens place

6 × 3 = 18

Add the 2 that you carried = 20

Put the 0 in the Tens place

Carry the 2 to the Hundreds place

6 × 2 = 12

Add the 2 that you carried = 14

This is the last number to multiply so write the whole number answer. No need to carry the 1.

Move one place to the left. Multiply the tens digit in the bottom number by each digit in the top number.

5 × 4 = 20

Add a row to your multiplication answer

When you write your answer, shift one column to the left

Put the 0 in Ones place

Carry the 2 to Tens place

5 × 3 = 15

Add the 2 that you carried = 17

Put the 7 in the Tens place

Carry the 1 to the Hundreds place

5 × 2 = 10

Add the 1 that you carried = 11

This is the last number to multiply so write the whole number answer. No need to carry the 1.

Add the numbers in the columns using long addition

4 + 0 = 4

0 + 0 = 0

4 + 7 = 11

write the 1 and carry 1

1 + 1 + 1 = 3

Once you add the columns you can see the long multiplication result: 234 × 56 = 13104.

## Related Calculators

If you need help with long addition see our Long Addition Calculator to add numbers by long addition and see the work.

For long division see the Long Division Calculator to divide numbers by using long division with remainders. This calculator also shows the work.

If you need to multiply fractions visit our Fractions Calculator. You can do fraction multiplication, addition, subtraction and division here.

### References

**Math is Fun** shows examples of Long Multiplication in an animated video.

Long multiplication is an algorithm and you can find examples of multiplication algorithms at Wikipedia.

**Cite this content, page or calculator as:**

Furey, Edward "Long Multiplication Calculator"; from *http://www.calculatorsoup.com* - Online Calculator Resource.