Question

6. Which numbers below are divisible by 3? By 6? By 9?

How do you know?
a) 124
b) 215
c) 330
d) 450
e) 150

Answer 1

To determine divisibility by 3, check if the sum of digits is divisible by 3. Numbers divisible by 6 must be divisible by 2 and 3. To determine divisibility by 9, check if sum of digits is divisible by 9. Out of the given numbers, 215, 330, 450 are divisible by 3 and 6, and 330 is also divisible by 9.

Step-by-step explanation:

To determine if a number is divisible by 3, we can check if the sum of its digits is divisible by 3. For a number to be divisible by 6, it must be divisible by both 2 and 3. To check if a number is divisible by 9, we can check if the sum of its digits is divisible by 9.

Out of the given numbers:

1. 124 is not divisible by 3, 6, or 9.
2. 215 is divisible by 3, but not divisible by 6 or 9. (2+1+5=8 which is not divisible by 3)
3. 330 is divisible by 3, 6, and 9. (3+3+0=6 which is divisible by 3)
4. 450 is divisible by 3 and 6, but not divisible by 9. (4+5+0=9 which is divisible by 3)
5. 150 is not divisible by 3, 6, or 9.

Therefore, the numbers divisible by 3 are: 215, 330, 450. The numbers divisible by 6 are: 330, 450. The numbers divisible by 9 are: 330.

Learn more about Divisibility Tests