# Number Theory

Can someone help me with this question
How many integers from 1 to 10000 inclusive, are multiples of 2 and 5?

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1. A number divisible by two integers a, b which are relatively prime to each other, is divisible by the product of a and b.

So a number divisible by 2 AND 5 is divisible by 2*5=10.

How many integers between 1 and 10 are divisible by 2 AND 5?
Between 1 and 100?
Between 1 and 1000?
Between 1 and 10000?

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posted by MathMate
2. BTW 1 and 10 = 1
BTW 1 and 100 =10
BTW 1 and 1000= 100
BTW 1 and 10000 = 1000

Am I following this correctly

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posted by Tay
3. Good!

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posted by PsyDAG

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