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D
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Difficulty:
15%
(low)
Question Stats:
82% (01:54) correct
18%
(02:23)
wrong
based on 147
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
21 Apr 2020, 10:13
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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
28 Apr 2020, 06:17
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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!
