Long Multiplication: 64 × 8

Long Multiplication Calculator
Multiplicand (number to be multiplied)
Multiplier (number to multiply by)

What is 64 × 8?

Answer

64 × 8 =
512

64 × 8 and 8 × 64 are the same product — the order of the factors never changes the answer, only the working. Below, 64 is multiplied by 8 in a column, digit by digit.

64 × 8 in a Column

The multiplicand goes on top, the multiplier underneath, both aligned on the right. The multiplier has a single digit, so there is one partial product and the answer goes straight under the line.

  64
×  8
 512
64 × 8 = 512

Step-by-Step Solution

Step 1: Multiply the multiplicand by the last digit of the multiplier, 8: 64 × 8 = 512.

  • 4 × 8 = 32. Write 2 and carry 3.
  • 6 × 8 = 48, plus the carried 3 makes 51. Write 1 and carry 5.
  • No digits are left, so the carried 5 is written in front: the partial product is 512.

64 × 8

=

512

Check It, and What It Is Not

Check by dividing back. Multiplication and division undo each other, so 512 ÷ 8 = 64 must come out exactly, with no remainder.

Fractions are a different calculation. Both factors here are whole numbers; for 2/3 or 2 3/4 use the fraction multiplication calculator, which multiplies numerators and denominators separately.

64 × 8 is a number, not an area. If those are the sides of a room in feet, the answer is 512 square feet — the same arithmetic, a different question, and it is answered by the square footage calculator.

See Also

Long Multiplication Calculator

This calculator multiplies two whole numbers the way it is done on paper: digit by digit, carrying where the column overflows, then adding the partial products together. For example, it can help you find out what is 64 × 8? (The answer is: 512). Enter the multiplicand (e.g. '64') and the multiplier (e.g. '8') and hit the button. The order of the two numbers does not matter — 64 × 8 and 8 × 64 are the same product — so either number can go on top. Fractions and mixed numbers belong to the fraction multiplication calculator, and the reverse operation is long division.

Products of 64

FAQ

What is 64 × 8?

64 × 8 = 512

Is 64 × 8 the same as 8 × 64?

Yes. Multiplication is commutative, so both come to 512. Only the working differs: this page multiplies by 8, which gives a single partial product.

How do you check that 64 × 8 = 512?

Divide the product back by one of the factors: 512 ÷ 8 = 64 exactly, with no remainder. Multiplication and division undo each other, which is what makes this check work.

What are the partial products of 64 × 8?

There is only one: the multiplier 8 has a single digit, so 64 × 8 = 512 is written straight under the line, with no addition step.