Long Multiplication: 25 × 7

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

What is 25 × 7?

Answer

25 × 7 =
175

25 × 7 and 7 × 25 are the same product — the order of the factors never changes the answer, only the working. Below, 25 is multiplied by 7 in a column, digit by digit.

25 × 7 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.

  25
×  7
 175
25 × 7 = 175

Step-by-Step Solution

Step 1: Multiply the multiplicand by the last digit of the multiplier, 7: 25 × 7 = 175.

  • 5 × 7 = 35. Write 5 and carry 3.
  • 2 × 7 = 14, plus the carried 3 makes 17. Write 7 and carry 1.
  • No digits are left, so the carried 1 is written in front: the partial product is 175.

25 × 7

=

175

Check It, and What It Is Not

Check by dividing back. Multiplication and division undo each other, so 175 ÷ 7 = 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 × 7 is a number, not an area. If those are the sides of a room in feet, the answer is 175 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 25 × 7? (The answer is: 175). Enter the multiplicand (e.g. '25') and the multiplier (e.g. '7') and hit the button. The order of the two numbers does not matter — 25 × 7 and 7 × 25 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 25

FAQ

What is 25 × 7?

25 × 7 = 175

Is 25 × 7 the same as 7 × 25?

Yes. Multiplication is commutative, so both come to 175. Only the working differs: this page multiplies by 7, which gives a single partial product.

How do you check that 25 × 7 = 175?

Divide the product back by one of the factors: 175 ÷ 7 = 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 × 7?

There is only one: the multiplier 7 has a single digit, so 25 × 7 = 175 is written straight under the line, with no addition step.