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If n is the product of the integers from 1 to 8, inclusive,
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11 Aug 2020, 09:32
11 Aug 2020, 09:32
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If n is the product of the integers from 1 to 8, inclusive, how many different prime factors greater than 1 does n have?
(A) four
(B) five
(C) six
(D) seven
(E) eight
(A) four
(B) five
(C) six
(D) seven
(E) eight
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Re: If n is the product of the integers from 1 to 8, inclusive,
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11 Aug 2020, 09:42
11 Aug 2020, 09:42
1
Carcass wrote:
If n is the product of the integers from 1 to 8, inclusive, how many different prime factors greater than 1 does n have?
(A) four
(B) five
(C) six
(D) seven
(E) eight
(A) four
(B) five
(C) six
(D) seven
(E) eight
n = (1)(2)(3)(4)(5)(6)(7)(8)
= (2)(3)(2)(2)(5)(2)(3)(7)(2)(2)(2) aside: I removed 1 from the list since it's not prime
= (2^7)(3^2)(5)(7)
There are 4 different primes
Answer: A
Cheers,
Brent
gmatclubot
Re: If n is the product of the integers from 1 to 8, inclusive, [#permalink]
11 Aug 2020, 09:42
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