Posted by **Kelly** on Monday, June 17, 2013 at 4:44pm.

I am thinking of some #s less than 100. When I divide them by 2 there is a remainder of 1. When I divide them by 3 there is a remainder of 1. When I divide it by 4 there is a remainder of 1. However, when I divide by 5 there is no remainder. what are the #'s?

- my answer so far is every number ending in a zero or five from 1-100 but I don't think its that simple. If someone could help me figure this out it would be greatly appreciated!

- Math for Educators -
**Joe**, Monday, June 17, 2013 at 4:50pm
The statement, "when I divide them by 2, there is a remainder of 1" means that the numbers must be odd, therefore they can't end in a 0. I'm only seeing 2 answers, 25 and 85

- Math for Educators -
**Reiny**, Monday, June 17, 2013 at 6:29pm
like Joe said, the first condition limits you to odd numbers

the second condition limits you to the numbers

7 13 19 **25** 31 37 43 49 55 61 67 73 79 **85** 91 97 (every odd multiple of 3 + 1)

the third condition limit you to the numbers

5 9 13 1721 **25** 29 33 37 41 45 49 53 57 61 65 69 73 77 81 **85** 89 93 97 ( every multiple of 4 + 1)

the fourth conditon gives you

5 15 **25** 35 45 55 65 75 **85** 95

As Joe pointed out , the only numbers fitting all 4 conditions are

25 and 85

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