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For any positive integer a, let *a* denote the smallest prime factor

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Manager
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For any positive integer a, let *a* denote the smallest prime factor [#permalink]

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New post 03 Aug 2017, 06:58
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Question Stats:

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Hello Guys,

Help me solve the following question:

For any positive integer a, let *a* denote the smallest prime factor of a. Which of the following is equal to *35* ?

a) *10*
b) *15*
c) *45*
d) *55*
e) *75*

I didn't get a hang of this question.

Thank you,

GR
Manager
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Joined: 30 Mar 2017
Posts: 69
Re: For any positive integer a, let *a* denote the smallest prime factor [#permalink]

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New post 03 Aug 2017, 07:02
The answer is D 55
*35* will denote the smallest prime factor of 35, which happens to be 5.
Similarly*55* will denote the smallest prime factor of 55, which is equal to 5

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Re: For any positive integer a, let *a* denote the smallest prime factor [#permalink]

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New post 03 Aug 2017, 10:26
2
Hi greatchap,
As *a* denotes the smallest prime factor of a.
In order to find out the value of *35*, we need to prime factorize 35 which is 5*7
*35* is nothing but 5 because the smaller prime factor of 35 is 5.

The answer options when prime factorized :
a) 10 = 2*5
b) 15 = 3*5
c) 45 = 3^2*5
d) 55 = 5*11
e) 75 = 3*5^2

Of these options Option D(55) has the same smallest prime factor as *35*

Hope that helps!
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Re: For any positive integer a, let *a* denote the smallest prime factor [#permalink]

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New post 09 Aug 2017, 12:46
greatchap wrote:
Hello Guys,

Help me solve the following question:

For any positive integer a, let *a* denote the smallest prime factor of a. Which of the following is equal to *35* ?

a) *10*
b) *15*
c) *45*
d) *55*
e) *75*


Since 35 = 5 x 7, the smallest prime factor of 35 is 5 and *35* = 5.

Looking at our answer choice, the only choice whose smallest prime factor is 5 is 55 because 5 x 11 = 55.

Answer: D
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Re: For any positive integer a, let *a* denote the smallest prime factor   [#permalink] 09 Aug 2017, 12:46
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