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

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Senior SC Moderator
Joined: 14 Nov 2016
Posts: 1289
Location: Malaysia
If x and y are prime numbers, what is the least prime factor of x2y? [#permalink]

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30 Mar 2017, 15:54
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Difficulty:

15% (low)

Question Stats:

81% (00:58) correct 19% (00:48) wrong based on 36 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.

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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, 20:31
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, 20:31
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