Posted by **Anonymous** on Wednesday, May 4, 2011 at 1:23am.

If the sum of 1! + 2! + 3! + 4! + ... + 49! + 50! is divided by 15, what is the remainder?

- 8th grade math -
**drwls**, Wednesday, May 4, 2011 at 6:57am
Every number above 14! will have zero remainder, since 15 is one of its factors. So, ask the same question about 1! + 2! + 3! + ...14!

All terms greater than 5! have both 3 and 5 as factors, so ask the same question about 1! + 2! + 3! + 4!

That sum is 33. Dividing that by 15 gives 3 with a remainder of 3.

The remainer of the full sum up to 50!divided by 15 will also be 3.

## Answer This Question

## Related Questions

- Math - How many integers between 200 and 500 inclusive leave a remainder 1 when ...
- Math - How many integers bewteen 200 and 500 inclusive leave a remainder 1 when ...
- Math - Find the least positive integer that leaves the remainder 3 when divided...
- Math - When 17 is divided by k,where k is a positive integer less than 17,,the ...
- Math - repost for Anonymous - Can someone show me the steps to these questions (...
- math - 1.) when the expression 4x^2-3x-8 is divided by x-a, the remainder is 2. ...
- math - what is the least common positive integer that meets the following ...
- math - what is the least common positive integer that meets the following ...
- math - When a is divided by 7,the remainder is 4.When b is divided by 3,the ...
- Math - Find the smallest positive integer that leaves a remainder of 5 when ...

More Related Questions