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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: 1323
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, 14:54
00:00

Difficulty:

25% (medium)

Question Stats:

85% (01:13) correct 15% (01:15) 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, 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? &nbs [#permalink] 30 Mar 2017, 19:31
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