How many natural numbers are there between 23 and 100 which are exactly divisible by 6?

Given:

Natural numbers between 23 and 100.

These numbers need to be exactly divisible by 6.

Formula Used:

For numbers divisible by any number k in a range, the formula for the count is:

Count = (Largest number divisible by k - Smallest number divisible by k ) / k + 1

Calculation:

Smallest natural number divisible by 6 and greater than 23 is:

⇒ 24 (6 × 4 = 24)

Largest natural number divisible by 6 and less than 100 is:

⇒ 96 (6 × 16 = 96)

Count of numbers divisible by 6:

⇒ (96 - 24) / 6 + 1

⇒ 72 / 6 + 1

⇒ 12 + 1

⇒ 13

The number of natural numbers between 23 and 100 divisible by 6 is 13.