Question

Using the divisibility rules, to say whether each number is divisible by 2, 3, 5, 6, 9 or 12.

A. 213

Answer 1

Using the divisibility rules, we find that 213 is divisible by 3 and 6, but not divisible by 2, 5, 9, or 12.

Step-by-step explanation:

Divisibility rules are helpful in determining if a number is divisible by another number without performing division. Let's apply the divisibility rules to the number 213:

1. Divisible by 2: The last digit of 213 is not divisible by 2, so 213 is not divisible by 2.
2. Divisible by 3: The sum of the digits of 213 (2+1+3=6) is divisible by 3, so 213 is divisible by 3.
3. Divisible by 5: The last digit of 213 is not 0 or 5, so 213 is not divisible by 5.
4. Divisible by 6: Since 213 is divisible by 2 and 3, it is divisible by 6.
5. Divisible by 9: The sum of the digits of 213 (2+1+3=6) is not divisible by 9, so 213 is not divisible by 9.
6. Divisible by 12: Since 213 is divisible by 2 and 3, it is not divisible by 12.