Showing posts with label unique factorization theorem. Show all posts
Showing posts with label unique factorization theorem. Show all posts

Tuesday, 24 January 2017

Problem 24

In a hall, there are 1098 seats. There are two aisles. Each row has the same number of seats. In each row, the number of seats between the aisles is 31. The rest of the seats are equally divided between the aisles. Find the number of rows.

Thursday, 5 January 2017

Problem 5



A positive integer n > 1 can be represented a product of prime powers:
n=p_{1}^{\alpha _{1}}p_{2}^{\alpha _{2}}\cdots p_{k}^{\alpha _{k}}=\prod _{i=1}^{k}p_{i}^{\alpha _{i}}

where p1 < p2 < ... < pk are primes and the αi are positive integers. Find how many factors are in n.