Question

If a number is divisible by 15. Which of the following is false?

• A. 3 is a factor of the number
• B. 5 is a factor of the number
• C. It cannot be an even number
• D. It can be an odd number

Answer 1

The Correct Option is C

If a number is divisible by 15, we need to identify which statement is false among the given options. After analyzing, the false statement is Option 3: It cannot be an even number.

Step-by-Step Process:

1. Understand Divisibility by 15: A number divisible by 15 must be divisible by both 3 and 5 (since 15 = 3 × 5). For example, 15, 30, 45, and 60 are divisible by 15.
2. Check Option 1: 3 is a factor of the number: Since the number is divisible by 15, it is divisible by 3. This statement is true.
3. Check Option 2: 5 is a factor of the number: Since the number is divisible by 15, it is divisible by 5. This statement is true.
4. Check Option 3: It cannot be an even number: Numbers like 30, 60, and 90 are divisible by 15 and are even (end in 0). Thus, a number divisible by 15 can be even, making this statement false.
5. Check Option 4: It cannot be an odd number: Numbers like 15, 45, and 75 are divisible by 15 and are odd (end in 5). This statement is false too, but we choose Option 3 as the question typically seeks the most directly incorrect statement.