Which of the following is not a factor of 3630?

Question

Accepted Answer

To determine which of the given options is not a factor of 3630, we need to check the divisibility of 3630 by each option.

1. **Option 1: 11**
   - To check if 11 is a factor of 3630, we divide 3630 by 11.
   - $ 3630 \div 11 = 330 $
   - Since the division results in a whole number, 11 is a factor of 3630.

2. **Option 2: 3**
   - To check if 3 is a factor of 3630, we use the rule of divisibility for 3, which states that a number is divisible by 3 if the sum of its digits is divisible by 3.
   - Sum of the digits of 3630: $ 3 + 6 + 3 + 0 = 12 $
   - 12 is divisible by 3, so 3 is a factor of 3630.

3. **Option 3: 5**
   - A number is divisible by 5 if it ends in 0 or 5.
   - 3630 ends in 0, so it is divisible by 5.
   - Therefore, 5 is a factor of 3630.

4. **Option 4: 9**
   - To check if 9 is a factor of 3630, we use the rule of divisibility for 9, which states that a number is divisible by 9 if the sum of its digits is divisible by 9.
   - Sum of the digits of 3630: $ 3 + 6 + 3 + 0 = 12 $
   - 12 is not divisible by 9, so 9 is not a factor of 3630.

Based on the above analysis, Option 4 is correctly identified as the option that is not a factor of 3630. The other options (11, 3, and 5) are all factors of 3630, as demonstrated by the divisibility tests. Therefore, the correct answer is Option 4.