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# If x and y are prime numbers, what is the least prime factor of x2y?

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If x and y are prime numbers, what is the least prime factor of x2y? [#permalink]

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30 Mar 2017, 14:54
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79% (00:54) correct 21% (00:48) wrong based on 34 sessions

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If x and y are prime numbers, what is the least prime factor of $$x^2*y$$?

1) x + y = odd.
2) xy = even.
[Reveal] Spoiler: OA

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If x and y are prime numbers, what is the least prime factor of x2y? [#permalink]

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30 Mar 2017, 19:31
If x and y are prime numbers, what is the least prime factor of $$x^2*y$$?[b]

1) x + y = odd.[/b]

X & Y are prime. So make sum odd. x or y must equal 2 and any odd prime number

the least prime factor = 2

Sufficient

2) xy = even.

X & Y are prime. So make multiplication even. x or y must equal 2 and any other prime number

the least prime factor = 2

Sufficient

If x and y are prime numbers, what is the least prime factor of x2y?   [#permalink] 30 Mar 2017, 19:31
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# If x and y are prime numbers, what is the least prime factor of x2y?

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