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# If the area of a number is defined as the difference between that numb

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Senior RC Moderator
Joined: 02 Nov 2016
Posts: 4106
GPA: 3.39
If the area of a number is defined as the difference between that numb  [#permalink]

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05 May 2017, 12:51
00:00

Difficulty:

5% (low)

Question Stats:

89% (00:38) correct 11% (00:49) wrong based on 111 sessions

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If the area of a number is defined as the difference between that number’s greatest and least prime factors, what is the area of 100 ?

A. 0
B. 2
C. 3
D. 5
E. 9

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Senior Manager
Joined: 24 Apr 2016
Posts: 323
Re: If the area of a number is defined as the difference between that numb  [#permalink]

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05 May 2017, 13:59
100 = 2^2 * 5^2

Greatest Prime Factor (5) - Least Prime Factor (2) = 3

Answer is C
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 4007
Location: Canada
Re: If the area of a number is defined as the difference between that numb  [#permalink]

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02 May 2018, 09:15
Top Contributor
SajjadAhmad wrote:
If the area of a number is defined as the difference between that number’s greatest and least prime factors, what is the area of 100 ?

A. 0
B. 2
C. 3
D. 5
E. 9

This question begs us to find the prime factorization of 100
100 = (2)(2)(5)(5)
So, 5 is the GREATEST prime factor of 100
And 2 is the LEAST prime factor of 100

Area of a number = (the number’s GREATEST prime factor) - (the number’s LEAST prime factor)
Area of 100 = 5 - 2
= 3
Answer: C

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Re: If the area of a number is defined as the difference between that numb   [#permalink] 02 May 2018, 09:15
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# If the area of a number is defined as the difference between that numb

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