perplexus.info :: Just Math : Product Divides Sum?

Product Divides Sum? (Posted on 2015-05-12)

Each of P, Q and R is a positive integer such that P divides Q², Q divides R² and R divides P².

Does P*Q*R always divide P+Q+R?
If not, give a counterexample.
If so, prove it.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The given conditions are met only if (P, Q, R) = (1,1,1)
For an explanation, refer to the comments submitted by broll and Steve Herman in the comments.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(2): Analytical Solution	Steve Herman	2015-05-13 06:30:59
re: Analytical Solution	broll	2015-05-13 05:38:28
Analytical Solution	Steve Herman	2015-05-12 14:00:41

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