Long Multiplication: 83 × 8

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

What is 83 × 8?

Answer

83 × 8 =
664

83 × 8 and 8 × 83 are the same product — the order of the factors never changes the answer, only the working. Below, 83 is multiplied by 8 in a column, digit by digit.

83 × 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.

  83
×  8
 664
83 × 8 = 664

Step-by-Step Solution

Step 1: Multiply the multiplicand by the last digit of the multiplier, 8: 83 × 8 = 664.

  • 3 × 8 = 24. Write 4 and carry 2.
  • 8 × 8 = 64, plus the carried 2 makes 66. Write 6 and carry 6.
  • No digits are left, so the carried 6 is written in front: the partial product is 664.

83 × 8

=

664

Check It, and What It Is Not

Check by dividing back. Multiplication and division undo each other, so 664 ÷ 8 = 83 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.

83 × 8 is a number, not an area. If those are the sides of a room in feet, the answer is 664 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 83 × 8? (The answer is: 664). Enter the multiplicand (e.g. '83') and the multiplier (e.g. '8') and hit the button. The order of the two numbers does not matter — 83 × 8 and 8 × 83 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 83

FAQ

What is 83 × 8?

83 × 8 = 664

Is 83 × 8 the same as 8 × 83?

Yes. Multiplication is commutative, so both come to 664. Only the working differs: this page multiplies by 8, which gives a single partial product.

How do you check that 83 × 8 = 664?

Divide the product back by one of the factors: 664 ÷ 8 = 83 exactly, with no remainder. Multiplication and division undo each other, which is what makes this check work.

What are the partial products of 83 × 8?

There is only one: the multiplier 8 has a single digit, so 83 × 8 = 664 is written straight under the line, with no addition step.