Long Multiplication: 16 × 12

"Long Multiplication Calculator" Calculator

Multiplicand (number to be multiplied)

Multiplier (number to multiply by)

What is 16 × 12?

Answer

16 × 12 = 192

16 × 12 and 12 × 16 are the same product — the order of the factors never changes the answer, only the working. Below, 16 is multiplied by 12 in a column, digit by digit.

16 × 12 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
× 12
  32
+160
 192
16 × 12 = 192

Step-by-Step Solution

Step 1: Multiply the multiplicand by the last digit of the multiplier, 2: 16 × 2 = 32.

  • 6 × 2 = 12. Write 2 and carry 1.
  • 1 × 2 = 2, plus the carried 1 makes 3. Write 3.

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.

32 + 160

=

192

Adding the partial products finishes the work: 16 × 12 = 192.

Check It, and What It Is Not

Check by dividing back. Multiplication and division undo each other, so 192 ÷ 12 = 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 × 12 is a number, not an area. If those are the sides of a room in feet, the answer is 192 square feet — the same arithmetic, a different question, and it is answered by the square footage calculator.

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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 × 12? (The answer is: 192). Enter the multiplicand (e.g. '16') and the multiplier (e.g. '12') and hit the button. The order of the two numbers does not matter — 16 × 12 and 12 × 16 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.

"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

FAQ

What is 16 × 12?

16 × 12 = 192

Is 16 × 12 the same as 12 × 16?

Yes. Multiplication is commutative, so both come to 192. Only the working differs: this page multiplies by 12, which gives 2 partial products.

How do you check that 16 × 12 = 192?

Divide the product back by one of the factors: 192 ÷ 12 = 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 × 12?

They are 32 + 160, and adding them gives 192.

See Also