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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.

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Q: What are the common multiples of 2 and 5?
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