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# The set of prime factors of integer y has one more element than the se

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Director
Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
The set of prime factors of integer y has one more element than the se  [#permalink]

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10 Sep 2018, 09:13
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Difficulty:

75% (hard)

Question Stats:

37% (01:17) correct 63% (01:27) wrong based on 59 sessions

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The set of prime factors of integer y has one more element than the set of prime factors of 84. What is the least possible value of y ?

a. 168
b. 210
c. 252
d. 420
e. 462
Intern
Joined: 02 May 2018
Posts: 11
GMAT 1: 620 Q46 V29
Re: The set of prime factors of integer y has one more element than the se  [#permalink]

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10 Sep 2018, 09:37
How B?
The set of prime factors of 84 is {2,2,3,7}
I thought A (168) is the smallest...

A) 168 has {2,2,2,3,7}
B) 210 has {2,3,7,5}
C) 252 has {2,2,3,3,7}
D) 420 has {2,2,3,7,5}
E) 462 has {2,3,7,11}
Director
Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
The set of prime factors of integer y has one more element than the se  [#permalink]

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Updated on: 10 Sep 2018, 09:56
2
Bigpic wrote:
How B?
The set of prime factors of 84 is {2,2,3,7}
I thought A (168) is the smallest...

A) 168 has {2,2,2,3,7}
B) 210 has {2,3,7,5}
C) 252 has {2,2,3,3,7}
D) 420 has {2,2,3,7,5}
E) 462 has {2,3,7,11}

A set = unique elements
so set of prime factors of 84 = [2,3,7]
the least possible value , which can be added to this set = 5
so 42*5=210

Originally posted by CounterSniper on 10 Sep 2018, 09:40.
Last edited by CounterSniper on 10 Sep 2018, 09:56, edited 1 time in total.
Intern
Joined: 02 May 2018
Posts: 11
GMAT 1: 620 Q46 V29
Re: The set of prime factors of integer y has one more element than the se  [#permalink]

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10 Sep 2018, 09:42
1
CounterSniper

"A set = unique elements". Thanks
Intern
Joined: 02 Sep 2015
Posts: 42
Re: The set of prime factors of integer y has one more element than the se  [#permalink]

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10 Sep 2018, 23:37
1
I don’t think a set means unique elements, but prime factors are unique please confirm?
Director
Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
The set of prime factors of integer y has one more element than the se  [#permalink]

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11 Sep 2018, 00:44
magbot wrote:
I don’t think a set means unique elements, but prime factors are unique please confirm?

1. A set definitely means collection of distinct objects.
Eg: A=[1,2,3,3,3,3,3,8]
Then set.A = [1,2,3,8]
(although denoted differently)

2.whatever the case may be, a set should help us filter unique elements.

Posted from my mobile device
The set of prime factors of integer y has one more element than the se   [#permalink] 11 Sep 2018, 00:44
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# The set of prime factors of integer y has one more element than the se

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