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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
82% (01:54) correct
18%
(02:10)
wrong
based on 175
sessions
History
Date
Time
Result
Not Attempted Yet
What is the quotient of 5040 divided by the product of its unique prime factors?
(A) 18
(B) 20
(C) 22
(D) 24
(E) 26
(A) 18
(B) 20
(C) 22
(D) 24
(E) 26
Solution:
\(5040 = 2^{4}* 3^{2}*5*7\)
Product of prime factor = \(2*3*5*7 = 210\)
\(\frac{5040}{210} = 24\)
Answer D
\(5040 = 2^{4}* 3^{2}*5*7\)
Product of prime factor = \(2*3*5*7 = 210\)
\(\frac{5040}{210} = 24\)
Answer D
Posts: 4,849
It’s easy to recognize that 5040 is 7!. This helps us realise that there are exactly 4 unique prime factors (disregarding the powers) for 5040 i.e. 2,3 5 and 7.
The product of these prime factors = 2 X 3 X 5 X 7 = 210.
When 5040 is divided by 210, the quotient is 24 since 210 X 24 = 5040.
The correct answer option is D.
Hope that helps!
The product of these prime factors = 2 X 3 X 5 X 7 = 210.
When 5040 is divided by 210, the quotient is 24 since 210 X 24 = 5040.
The correct answer option is D.
Hope that helps!
This question is misleading.
It should say "prime factors" not "prime factor".
It should say "prime factors" not "prime factor".
Tumilara
Thank you, I edit the question.
Posted from my mobile device
Posts: 12
ArvindCrackVerbal
Ravixxx
5040 = 2^4 x 3^2 x 5 x 7 (say this is A)
Product of prime factors = 2 x 3 x 5 x 7 (say this is B)
Hence, the quotient = A/B = 2^3 x 3 = 24 (option D)
Posted from my mobile device
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