Find the sum of the positive square free divisors of 5400.
2 answers:
Answer:
Step-by-step explanation:
Ok since no one decided to answer my question, here is the answer
from aops:
We note that
as you can see, the "verified answer" is complete garbage.
Consider the positive squares of 1,2,3,4, 5, ...
They are 1, 4, 9, 16, 25, ...
Factorize 5400 with regard to these positive squares.
5400 = 4 * 1350
= 4 * 9 * 150
= 4 * 9 * 25 * 6
The positive square free divisors of 5400 are 4,9 and 25.
Their sum is 4+9+25 = 38
Answer: 38
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