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# All numbers divisible by both 4 and 15 are also divisible by what numbers?

Updated: 4/28/2022

Wiki User

14y ago

a number is 6.

All numbers divisible by both 4 and 15 are the multiples of 4 and 15. Since 4 and 15 have no prime factor in common (4 = 22, 15 = 3 · 5), then the least common multiple of 4 and 15 is equal to their product, namely 4 · 15 = 60. Every other multiple of 4 and 15 is divisible by 60. Thus, if 60 is divisible by a number then all the multiples of 4 and 15 are divisible by that number. Therefore, it is enough to check by which number in the given options is 60 divisible. Only 6 divides 60 and none of the other do. The answer must be (A).

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14y ago

Anonymous

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Q: All numbers divisible by both 4 and 15 are also divisible by what numbers?
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Yes.

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