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The complete set of the prime factors of is __________

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The complete set of the prime factors of is __________  [#permalink]

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New post Updated on: 22 Jul 2019, 09:59
1
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

80% (00:50) correct 20% (01:56) wrong based on 30 sessions

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The complete set of the prime factors of 4620*55*35 is __________
A 2,3,5
B 2,5,11
C 2,3,5,11
D 2,3,5,7,11
E None of these

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Originally posted by yash9045 on 22 Jul 2019, 09:38.
Last edited by yash9045 on 22 Jul 2019, 09:59, edited 1 time in total.
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Re: The complete set of the prime factors of is __________  [#permalink]

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New post 22 Jul 2019, 09:47
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Director
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Re: The complete set of the prime factors of is __________  [#permalink]

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New post 22 Jul 2019, 15:03
1
\(4620*55*35\)
\(= 2^23^15^17^111^1*5^111^1*5^17^1\)
so the primes factors are \(2,3,5,7,11\)
D
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Re: The complete set of the prime factors of is __________  [#permalink]

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New post 23 Jul 2019, 03:55

Solution


To find:
    • The prime factors of 4620 * 55 * 35

Approach and Working Out:
    • 4620 * 55 * 35 = (2 * 2 * 3 * 5 * 7 * 11) * (5 * 11) * (5 * 7)
    • Therefore, the prime factors are {2, 3, 5, 7, 11}

Hence, the correct answer is Option D.

Answer: D

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Re: The complete set of the prime factors of is __________   [#permalink] 23 Jul 2019, 03:55
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