Long Multiplication: 25 × 25

"Long Multiplication Calculator" Calculator

Multiplicand (number to be multiplied)

Multiplier (number to multiply by)

What is 25 × 25?

Answer

25 × 25 = 625

25 × 25 is a square: a number multiplied by itself, so 625 is the square of 25. Below, 25 is multiplied by 25 in a column, digit by digit.

25 × 25 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.

  25
× 25
 125
+500
 625
25 × 25 = 625

Step-by-Step Solution

Step 1: Multiply the multiplicand by the last digit of the multiplier, 5: 25 × 5 = 125.

  • 5 × 5 = 25. Write 5 and carry 2.
  • 2 × 5 = 10, plus the carried 2 makes 12. Write 2 and carry 1.
  • No digits are left, so the carried 1 is written in front: the partial product is 125.

Step 2: The next digit of the multiplier is 2, and it stands for 20: 25 × 20 = 500.

  • 5 × 2 = 10. Write 0 and carry 1.
  • 2 × 2 = 4, plus the carried 1 makes 5. Write 5.

125 + 500

=

625

Adding the partial products finishes the work: 25 × 25 = 625.

Check It, and What It Is Not

Check by dividing back. Multiplication and division undo each other, so 625 ÷ 25 = 25 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.

25 × 25 is a number, not an area. If those are the sides of a room in feet, the answer is 625 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 25 × 25? (The answer is: 625). Enter the multiplicand (e.g. '25') and the multiplier (e.g. '25') 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 25

MultiplicationProduct
25 × 250
25 × 375
25 × 4100
25 × 5125
25 × 6150
25 × 7175
25 × 8200
25 × 9225
25 × 10250
25 × 11275
25 × 12300
25 × 15375
25 × 16400
25 × 20500
25 × 25625

FAQ

What is 25 × 25?

25 × 25 = 625

Is 625 a square number?

Yes. 25 × 25 = 625, so 625 is the square of 25. A square is simply a number multiplied by itself, which is why both factors here are the same.

How do you check that 25 × 25 = 625?

Divide the product back by one of the factors: 625 ÷ 25 = 25 exactly, with no remainder. Multiplication and division undo each other, which is what makes this check work.

What are the partial products of 25 × 25?

They are 125 + 500, and adding them gives 625.

See Also