Long Multiplication: 75 × 75

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

What is 75 × 75?

Answer

75 × 75 =
5,625

2 partial products: 75 × 5 = 375 and 75 × 70 = 5,250.

75 × 75 in a column

75
×75
375
+5250
5625

In the column: product 5,625.

Step by step: 75 × 75

  1. Step 1Multiply 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.
  2. Step 2The 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.
  3. Sum of the partial products375 + 5,250 = 5,625

Similar examples to practise

See Also

Products of 75

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.