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# A “trio-prime” is any number made up of three factors, not including

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Math Expert
Joined: 02 Sep 2009
Posts: 54436
A “trio-prime” is any number made up of three factors, not including  [#permalink]

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31 Jul 2017, 23:56
1
3
00:00

Difficulty:

55% (hard)

Question Stats:

54% (02:21) correct 46% (02:03) wrong based on 50 sessions

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A “trio-prime” is any number made up of three factors, not including itself and 1, that are consecutive primes. How many “trio-primes” are less than 1,000?

(A) 2

(B) 3

(C) 4

(D) 7

(E) 11

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A “trio-prime” is any number made up of three factors, not including  [#permalink]

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01 Aug 2017, 00:15
1
Bunuel wrote:
A “trio-prime” is any number made up of three factors, not including itself and 1, that are consecutive primes. How many “trio-primes” are less than 1,000?

(A) 2

(B) 3

(C) 4

(D) 7

(E) 11

Total factors of Trio Primes are 3 (excluding 1 and itself)
2,3,5,7,11,13
Since 7*11*13 = 1001
we have 2,3,5,7,11
So numbers with consecutive primes will be 2*3*5, 3*5*7, 5*7*11
3
B
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A “trio-prime” is any number made up of three factors, not including   [#permalink] 01 Aug 2017, 00:15
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