Long Multiplication: 75 × 75

"Long Multiplication Calculator" Calculator

Multiplicand (number to be multiplied)

Multiplier (number to multiply by)

What is 75 × 75?

Answer

75 × 75 = 5,625

75 × 75 is a square: a number multiplied by itself, so 5,625 is the square of 75. Below, 75 is multiplied by 75 in a column, digit by digit.

75 × 75 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.

   75
×  75
  375
+5250
 5625
75 × 75 = 5,625

Step-by-Step Solution

Step 1: Multiply the multiplicand by the last digit of the multiplier, 5: 75 × 5 = 375.

  • 5 × 5 = 25. Write 5 and carry 2.
  • 7 × 5 = 35, plus the carried 2 makes 37. Write 7 and carry 3.
  • No digits are left, so the carried 3 is written in front: the partial product is 375.

Step 2: The next digit of the multiplier is 7, and it stands for 70: 75 × 70 = 5,250.

  • 5 × 7 = 35. Write 5 and carry 3.
  • 7 × 7 = 49, plus the carried 3 makes 52. Write 2 and carry 5.
  • No digits are left, so the carried 5 is written in front: the partial product is 525.

375 + 5,250

=

5,625

Adding the partial products finishes the work: 75 × 75 = 5,625.

Check It, and What It Is Not

Check by dividing back. Multiplication and division undo each other, so 5,625 ÷ 75 = 75 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.

75 × 75 is a number, not an area. If those are the sides of a room in feet, the answer is 5,625 square feet — the same arithmetic, a different question, and it is answered by the square footage calculator.

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 75 × 75? (The answer is: 5,625). Enter the multiplicand (e.g. '75') and the multiplier (e.g. '75') 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 75

MultiplicationProduct
75 × 2150
75 × 3225
75 × 4300
75 × 5375
75 × 6450
75 × 7525
75 × 8600
75 × 9675
75 × 10750
75 × 11825
75 × 12900
75 × 151,125
75 × 161,200
75 × 201,500
75 × 251,875
75 × 302,250
75 × 403,000
75 × 503,750
75 × 604,500
75 × 755,625

FAQ

What is 75 × 75?

75 × 75 = 5,625

Is 5,625 a square number?

Yes. 75 × 75 = 5,625, so 5,625 is the square of 75. A square is simply a number multiplied by itself, which is why both factors here are the same.

How do you check that 75 × 75 = 5,625?

Divide the product back by one of the factors: 5,625 ÷ 75 = 75 exactly, with no remainder. Multiplication and division undo each other, which is what makes this check work.

What are the partial products of 75 × 75?

They are 375 + 5,250, and adding them gives 5,625.

See Also