# How many numbers that are multiples of 5 divide 1000?

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1. Jan 10, 2015

1. The problem statement, all variables and given/known data
Okay:

How many numbers divide 1000 that are multiples of 5

I have seen you do 1000/5 = 200

But how does this mean there are 200 numbers that divide 1000 that are multiples of 5?

This just says: 1000 divided into 5 equal pieces, is 200.

So how does this give how many numbers divide 1000 that are multiples of 5?

I just dont get the concept!

2. Relevant equations

3. The attempt at a solution

I dont understand the conceptual part.

Last edited by a moderator: Jan 10, 2015
2. Jan 10, 2015

### Fightfish

Basically the question is asking how many divisors of 1000 are multiples of 5.
To make it clear, let me give a simple example - say now the problem is, how many numbers that divide 20 are multiples of 5. Well clearly these numbers are 5, 10 and 20, so the answer is 3. For this small example, of course, you can just eyeball the answer or write down all the divisors. For the problem you have, involving a much bigger number (1000), a useful starting point is to consider its prime factorisation.

3. Jan 10, 2015

### ehild

200 is not the correct solution. It is true, that starting from zero, every fifth number is divisible by 5. They are 5, 10, 15, 20, 25, 30 35....
But these numbers are not all divisors of 1000. 1000 is not a multiple of 15 or 30 or 35...

4. Jan 10, 2015