How many 3-digit numbers are multiples of 8?

How many 3-digit numbers are multiples of 8?

Can you determine the total number of 3-digit numbers that are multiples of 8?

Total 3-Digit Numbers That Are Multiples of 8

There are 112 3-digit numbers that are multiples of 8.

There are several methods to calculate the total number of 3-digit numbers that are multiples of 8. One method is to divide the total number of 3-digit numbers by 8 to determine how many are multiples of 8.

Considering that numbers are integers, we can use multiplication tables to determine the total number of 3-digit numbers that are multiples of 8. Each multiple is equivalent to the following expression:

a * b = c

Where:

a - Multiplicand.

b - Multiplier.

c - Result.

The total numbers (n) is equal to the following expression:

n = 1 + (b2 - b1)

Where:

b1 - Multiplier of the smallest 3-digit number.

b2 - Multiplier of the largest 3-digit number.

If we know that a = 8, b1 = 13, b2 = 124, c1 = 104, and c2 = 992, then the total number of 3-digit numbers that are multiples of 8 is:

n = 1 + (124 - 13)

n = 112

Therefore, there are 112 3-digit numbers that are multiples of 8.