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

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Not all even numbers are divisible by 6. These numbers are not evenly divisible by 6: Any number smaller than 6. Any number not divisible by 3. If a number is divisible by both 2 and 3, it is divisible by 6.

Well, not technically. You cannot divide 5 by 10 (if you want a positive number that isn't a decimal.) But, ALL NUMBERS THAT ARE DIVISIBLE BY 10 ARE DIVISIBLE BY 5! You just have to turn that question around.

All numbers divisible by 10 end in zero and all numbers that end in 0 are divisible by 10. ( I am assuming base 10 notation, of course)

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The common multiples of 2 and 5 are 10, 20, 30, 40, etc.In detail:A common multiple is a number divisible by both (or all) numbers: 2 and 5, here.Knowing that all numbers divisible by 2 have a 0, 2, 4, 6, or 8 in the ones place combined with the knowledge that all numbers divisible by 5 end with 0 or 5 (excluding 0 in both cases), we can say the only multiples of each number that are common to both are numbers that end with 0.Another way of analyzing this problem is to say that both 5 and 2 are factors. 10 is clearly a multiple of 5 and 2 because 2(5)=10. Any number divisible by 10 is thus also divisible by 2 and 5. All numbers divisible by 10 end in 0. Thus, a number ends in 0 if and only if it is divisible by 2 and 5.Answer: Common multiples of 2 and 5 end with zero.

Related questions

Yes.

All numbers that are divisible by 8 and 12 would also be divisible by 4.

Two. All numbers are also divisible by 1.

All numbers divisible by 3 are NOT divisible by 9. As an example, 6, which is divisible by 3, is not divisible by 9. However, all numbers divisible by 9 are also divisible by 3 because 9 is divisible by 3.

The lists of numbers divisible by and not divisible by 600 are both infinite.

no

No, because 1 is not evenly divisible by 5. However, all numbers divisible by 5 are divisible by 1.

Yes. Test a couple numbers divisible by 9--27, 81--and they are all divisible by 3.

All multiples of 6 are evenly divisible by 6, such as: 6, -6, 12, -12, 18, -18, and so on. Numbers divisible by six must also be divisible by both 2 and 3.

Yes, if you are referring to whole numbers.

No. 15 is divisible by 5.

Yes.