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.