Long Multiplication: 72 × 9

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

What is 72 × 9?

Answer

72 × 9 =
648

72 × 9 and 9 × 72 are the same product — the order of the factors never changes the answer, only the working. Below, 72 is multiplied by 9 in a column, digit by digit.

72 × 9 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.

  72
×  9
 648
72 × 9 = 648

Step-by-Step Solution

Step 1: Multiply the multiplicand by the last digit of the multiplier, 9: 72 × 9 = 648.

  • 2 × 9 = 18. Write 8 and carry 1.
  • 7 × 9 = 63, plus the carried 1 makes 64. Write 4 and carry 6.
  • No digits are left, so the carried 6 is written in front: the partial product is 648.

72 × 9

=

648

Check It, and What It Is Not

Check by dividing back. Multiplication and division undo each other, so 648 ÷ 9 = 72 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.

72 × 9 is a number, not an area. If those are the sides of a room in feet, the answer is 648 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 72 × 9? (The answer is: 648). Enter the multiplicand (e.g. '72') and the multiplier (e.g. '9') and hit the button. The order of the two numbers does not matter — 72 × 9 and 9 × 72 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 72

FAQ

What is 72 × 9?

72 × 9 = 648

Is 72 × 9 the same as 9 × 72?

Yes. Multiplication is commutative, so both come to 648. Only the working differs: this page multiplies by 9, which gives a single partial product.

How do you check that 72 × 9 = 648?

Divide the product back by one of the factors: 648 ÷ 9 = 72 exactly, with no remainder. Multiplication and division undo each other, which is what makes this check work.

What are the partial products of 72 × 9?

There is only one: the multiplier 9 has a single digit, so 72 × 9 = 648 is written straight under the line, with no addition step.