Long Multiplication: 16 × 16

"Long Multiplication Calculator" Calculator

Multiplicand (number to be multiplied)

Multiplier (number to multiply by)

What is 16 × 16?

Answer

16 × 16 = 256

16 × 16 is a square: a number multiplied by itself, so 256 is the square of 16. Below, 16 is multiplied by 16 in a column, digit by digit.

16 × 16 in a Column

The multiplicand goes on top, the multiplier underneath, both aligned on the right. Each digit of the multiplier produces its own partial product, and the partial products are added up.

  16
× 16
  96
+160
 256
16 × 16 = 256

Step-by-Step Solution

Step 1: Multiply the multiplicand by the last digit of the multiplier, 6: 16 × 6 = 96.

  • 6 × 6 = 36. Write 6 and carry 3.
  • 1 × 6 = 6, plus the carried 3 makes 9. Write 9.

Step 2: The next digit of the multiplier is 1, and it stands for 10: 16 × 10 = 160.

  • 6 × 1 = 6. Write 6.
  • 1 × 1 = 1. Write 1.

96 + 160

=

256

Adding the partial products finishes the work: 16 × 16 = 256.

Check It, and What It Is Not

Check by dividing back. Multiplication and division undo each other, so 256 ÷ 16 = 16 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.

16 × 16 is a number, not an area. If those are the sides of a room in feet, the answer is 256 square feet — the same arithmetic, a different question, and it is answered by the square footage calculator.

Related Calculations

See Also

About "Long Multiplication Calculator" 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 16 × 16? (The answer is: 256). Enter the multiplicand (e.g. '16') and the multiplier (e.g. '16') and hit the button. The order of the two numbers never matters: swapping the factors leaves the product unchanged, so either one can go on top. Fractions and mixed numbers belong to the fraction multiplication calculator, and the reverse operation is long division.

"Long Multiplication Calculator" Calculator

Multiplicand (number to be multiplied)

Multiplier (number to multiply by)

Products of 16

MultiplicationProduct
16 × 116
16 × 232
16 × 348
16 × 464
16 × 580
16 × 696
16 × 7112
16 × 8128
16 × 9144
16 × 10160
16 × 11176
16 × 12192
16 × 16256

FAQ

What is 16 × 16?

16 × 16 = 256

Is 256 a square number?

Yes. 16 × 16 = 256, so 256 is the square of 16. A square is simply a number multiplied by itself, which is why both factors here are the same.

How do you check that 16 × 16 = 256?

Divide the product back by one of the factors: 256 ÷ 16 = 16 exactly, with no remainder. Multiplication and division undo each other, which is what makes this check work.

What are the partial products of 16 × 16?

They are 96 + 160, and adding them gives 256.

See Also