Question

Which statement BEST explains the relationship between the numbers divisible by 6,2 and 3?

A, A number that is divisible by 6 is also divisible by 2 and 3 because 2 and 3 are factors of 6.
B, A number that is divisible by 6 is not divisible by 2 or 3 because the sum of 2 and 3 is 5.
C, A number that is divisible by 6 can be divisible by 2 but not by 3 because all multiples of 6 are even.
D, A number that is divisible by 6 is also divisible by 2 and 3 because they all have the same factors.

Answer 1

A. A number that is divisible by 6 is also divisible by 2 and 3 because 2 and 3 are factors of 6.

Answer 2

A. A number that is divisible by 6 is also divisible by 2 and 3 because 2 and 3 are factors of 6.

Explanation:

2 and 3 are prime numbers, whose product is equal to 6. Besides, 2 is an even number, while 3 is an odd number, and the product of an even number and an odd number is equal to an even number. Therefore, All number that is divisible by 6 are also divisible by 2 and 3, both prime numbers. In conclusion, the right answer is A.