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

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

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New post 10 Sep 2018, 08:13
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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
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Re: The set of prime factors of integer y has one more element than the se  [#permalink]

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New post 10 Sep 2018, 08:37
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}
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The set of prime factors of integer y has one more element than the se  [#permalink]

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New post Updated on: 10 Sep 2018, 08:56
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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, 08:40.
Last edited by CounterSniper on 10 Sep 2018, 08:56, edited 1 time in total.
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Re: The set of prime factors of integer y has one more element than the se  [#permalink]

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New post 10 Sep 2018, 08:42
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CounterSniper

"A set = unique elements". Thanks
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Re: The set of prime factors of integer y has one more element than the se  [#permalink]

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New post 10 Sep 2018, 22:37
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I don’t think a set means unique elements, but prime factors are unique please confirm?
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The set of prime factors of integer y has one more element than the se  [#permalink]

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New post 10 Sep 2018, 23:44
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.

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The set of prime factors of integer y has one more element than the se &nbs [#permalink] 10 Sep 2018, 23:44
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The set of prime factors of integer y has one more element than the se

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