# Thread: Find the highest power of 3 which divides N.

1. ## Find the highest power of 3 which divides N.

The integers from 200 down to 1 are written consecutively to form the large number N = 200199198197...131211...654321. Find the highest power of 3 which divides N.

2. A quite modest 3^1

4. Probably one way to solve this problem is to keep in mind that 9 divides $N$ if and only if the sum of its digits is divisible by 9.