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Problems
Contests
National and Regional Contests
Mexico Contests
Mexico National Olympiad
1987 Mexico National Olympiad
4
4
Part of
1987 Mexico National Olympiad
Problems
(1)
product of all positive integers < 100 with exactly 3 positive divisors
Source: 1st Mexican Mathematical Olympiad 1987 OMM P4
7/27/2018
Calculate the product of all positive integers less than
100
100
100
and having exactly three positive divisors. Show that this product is a square.
number theory
Product
Perfect Square
number of divisors