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

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

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New post 31 Jul 2017, 23:56
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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
Spoiler: OA

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

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New post 01 Aug 2017, 00:15
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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
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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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