Long Multiplication: 11 × 11

"Long Multiplication Calculator" Calculator

Multiplicand (number to be multiplied)

Multiplier (number to multiply by)

What is 11 × 11?

Answer

11 × 11 = 121

11 × 11 is a square: a number multiplied by itself, so 121 is the square of 11. Below, 11 is multiplied by 11 in a column, digit by digit.

11 × 11 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.

  11
× 11
  11
+110
 121
11 × 11 = 121

Step-by-Step Solution

Step 1: Multiply the multiplicand by the last digit of the multiplier, 1: 11 × 1 = 11.

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

Step 2: The next digit of the multiplier is 1, and it stands for 10: 11 × 10 = 110.

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

11 + 110

=

121

Adding the partial products finishes the work: 11 × 11 = 121.

Check It, and What It Is Not

Check by dividing back. Multiplication and division undo each other, so 121 ÷ 11 = 11 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.

11 × 11 is a number, not an area. If those are the sides of a room in feet, the answer is 121 square feet — the same arithmetic, a different question, and it is answered by the square footage calculator.

Related Calculations

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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 11 × 11? (The answer is: 121). Enter the multiplicand (e.g. '11') and the multiplier (e.g. '11') 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 11

MultiplicationProduct
11 × 111
11 × 222
11 × 333
11 × 444
11 × 555
11 × 666
11 × 777
11 × 888
11 × 999
11 × 10110
11 × 11121
11 × 12132

FAQ

What is 11 × 11?

11 × 11 = 121

Is 121 a square number?

Yes. 11 × 11 = 121, so 121 is the square of 11. A square is simply a number multiplied by itself, which is why both factors here are the same.

How do you check that 11 × 11 = 121?

Divide the product back by one of the factors: 121 ÷ 11 = 11 exactly, with no remainder. Multiplication and division undo each other, which is what makes this check work.

What are the partial products of 11 × 11?

They are 11 + 110, and adding them gives 121.

See Also