Multiplication by 75

Use the following steps to multiply mentally by 75.

• Multiply the number by 3 first, then divide that product by 4.

• If the remainder is 0, write 00 after the quotient.

• If the remainder is 1, write 25 after the quotient.

• If the remainder is 2, write 50 after the quotient.

• If the remainder is 3, write 75 after the quotient.

Example:

32 × 75 =

Multiply 32 by 3 and divide by 4.

32 × 3 = 96

96 ÷ 4 = 24 (remainder = 0)

Since the remainder is 0, write 00 after 24.

32 × 75 = 2400

Example:

403 × 75 =

Multiply 403 by 3 and then divide by 4.

403 × 3 = 1209

1209 ÷ 4 = 302 (remainder = 1)

Since the remainder is 1, write 25 after 302.

403 × 75 = 30225