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True or False:
If N > K are integers, and if N is divisible by every prime factor of K, then N is divisible by K.

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False. K could have higher powers of some of the prime factors. For example, 75 is divisible by prime factors 3 & 5, the same prime factors as 45, but 45 has two factors of 3, so 75 is not divisible by 45.

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