If a number is divisible by 6, then it is divisible by___ .

only 2

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only 3

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both 2 and 3

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2, 3 and 5

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Solution

The correct option is C
both 2 and 3

A number is divisible by 6 if it is divisible by all the prime factors of 6.

The prime factors of 6 are 2 and 3.

Therefore, the number should be divisible by both 2 and 3, to be divisible by 6.

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The contrapositive of the statement “If a number is divisible by 6, then it is divisible by both 2 and 3” is:

If a number is divisible by 9, then it is also divisible by ___

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