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# The complete set of the prime factors of is __________

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Intern
Joined: 14 Jun 2019
Posts: 17
The complete set of the prime factors of is __________  [#permalink]

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Updated on: 22 Jul 2019, 09:59
1
00:00

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

___________________________________________________________________________________________________________________________________

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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Joined: 02 Sep 2009
Posts: 57244
Re: The complete set of the prime factors of is __________  [#permalink]

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22 Jul 2019, 09:47
1
yash9045 wrote:
The complete set of the prime factors of is __________
A 2,3,5
B 2,5,11
C 2,3,5,11
D 2,3,5,7,11
E None of these

___________________________________________________________________________________________________________________________________

There is something missing in the question. Could you please check and edit? Thank you.
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Re: The complete set of the prime factors of is __________  [#permalink]

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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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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.

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