# 4.3.2. Divisibility

Determine the number that is divisible by 2, 3, and 5, given that it is between 7 093 and 7 127.

- A7 110
- B7 100
- C7 116
- D7 125

### Example

Determine the number that is divisible by 2, 3, and 5, given that it is between 7 093 and 7 127.

### Solution

Use divisibility rules:

- A whole number is divisible by 2 if its units digit is 0, 2, 4, 6, or 8 (an even number).
- A whole number is divisible by 3 if the sum of its digits is divisible by 3.
- A whole number is divisible by 5 if its units digit is 0 or 5.

Since the number is divisible by 2 and 5, we know that units digit must be 0.

Starting with the greatest possible number, try each number between

First, try

Next, try

Therefore, the answer is