Long Multiplication: 31 × 3

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

What is 31 × 3?

Answer

31 × 3 =
93

31 × 3 and 3 × 31 are the same product — the order of the factors never changes the answer, only the working. Below, 31 is multiplied by 3 in a column, digit by digit.

31 × 3 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.

 31
× 3
 93
31 × 3 = 93

Step-by-Step Solution

Step 1: Multiply the multiplicand by the last digit of the multiplier, 3: 31 × 3 = 93.

  • 1 × 3 = 3. Write 3.
  • 3 × 3 = 9. Write 9.

31 × 3

=

93

Check It, and What It Is Not

Check by dividing back. Multiplication and division undo each other, so 93 ÷ 3 = 31 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.

31 × 3 is a number, not an area. If those are the sides of a room in feet, the answer is 93 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 31 × 3? (The answer is: 93). Enter the multiplicand (e.g. '31') and the multiplier (e.g. '3') and hit the button. The order of the two numbers does not matter — 31 × 3 and 3 × 31 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 31

FAQ

What is 31 × 3?

31 × 3 = 93

Is 31 × 3 the same as 3 × 31?

Yes. Multiplication is commutative, so both come to 93. Only the working differs: this page multiplies by 3, which gives a single partial product.

How do you check that 31 × 3 = 93?

Divide the product back by one of the factors: 93 ÷ 3 = 31 exactly, with no remainder. Multiplication and division undo each other, which is what makes this check work.

What are the partial products of 31 × 3?

There is only one: the multiplier 3 has a single digit, so 31 × 3 = 93 is written straight under the line, with no addition step.