# 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.