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# Set A consists of the prime factors of the number 22680. If each numbe

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Math Expert
Joined: 02 Sep 2009
Posts: 52362
Set A consists of the prime factors of the number 22680. If each numbe  [#permalink]

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13 Apr 2018, 02:32
00:00

Difficulty:

35% (medium)

Question Stats:

68% (01:52) correct 32% (02:06) wrong based on 74 sessions

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Set A consists of the prime factors of the number 22680. If each number in Set A is repeated the same number of times as it appears in the full prime factorization of 22680, what is the mode of Set A?

A. 2
B. 3
C. 5
D. 7
E. 8

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Joined: 04 Apr 2018
Posts: 21
Re: Set A consists of the prime factors of the number 22680. If each numbe  [#permalink]

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13 Apr 2018, 02:52
number 22680 = (2^3*3^4*5*7) or (2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7)
3 appears most, hence it should be mode. So, option B. 3 must be the answer.
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Re: Set A consists of the prime factors of the number 22680. If each numbe  [#permalink]

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13 Apr 2018, 02:56
Bunuel wrote:
Set A consists of the prime factors of the number 22680. If each number in Set A is repeated the same number of times as it appears in the full prime factorization of 22680, what is the mode of Set A?

A. 2
B. 3
C. 5
D. 7
E. 8

The prime factorization of 22680 is 2^3 * 3^4 * 5 * 7

Therefore 3 is the mode.

Hence $$option B = 3$$ is the answer.
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Re: Set A consists of the prime factors of the number 22680. If each numbe &nbs [#permalink] 13 Apr 2018, 02:56
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