What is the largest number $k$ less than 1000 such that the remainder is 1 when $k$ is divided by each of 3, 4, 5, 6, and 7?

Guest Dec 24, 2020

#1**0 **

You can start from 999 and continue down until you found a number that meets the requirment. 999 wouldn't work because when divided by 3, there is no remander. I'm sure it will not take too long.

Guest Dec 24, 2020

#2**0 **

What is the largest number less than 1000 such that the remainder is 1 when is divided by each of 3, 4, 5, 6, and 7?

My submission is **841**. I multiplied 4 x 5 x 6 x 7 and got 840 then added 1.

I didn't multiply by 3 because that ends up over a 1000 and anyway the 6 took care of the 3.

Guest Dec 24, 2020

edited by
Guest
Dec 24, 2020