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How many positive integers will divide evenly into 290?

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How many positive integers will divide evenly into 290?  [#permalink]

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New post 15 Apr 2016, 01:05
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

58% (00:44) correct 42% (01:05) wrong based on 107 sessions

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Re: How many positive integers will divide evenly into 290?  [#permalink]

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New post 15 Apr 2016, 06:28
1
Bunuel wrote:
How many positive integers will divide evenly into 290?

A. 4
B. 6
C. 8
D. 12
E. 16


What the Q asks us is-- What are the factors of 290.

290 can immediately be written as 29*10, where 29 is a prime number..
290 = 2*5*29..
number of factors = (1+1) (1+1) (1+1) = 8

C
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How many positive integers will divide evenly into 290?  [#permalink]

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New post 15 Apr 2016, 10:24
Bunuel wrote:
How many positive integers will divide evenly into 290?

A. 4
B. 6
C. 8
D. 12
E. 16


2 step process -

1. Factorize the number into prime factors

290 = 2^1*5 ^1* 29^1

2. Use formula for no of factors (a+1)(b+1)(c+1)

=> (1+1) (1+1) (1+1)

=>2^3 = 8

So, answer is C :lol:
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Re: How many positive integers will divide evenly into 290?  [#permalink]

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New post 20 Apr 2016, 14:52
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Re: How many positive integers will divide evenly into 290?  [#permalink]

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Re: How many positive integers will divide evenly into 290?  [#permalink]

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New post 22 May 2017, 15:35
I too struggled to understand the question....but I looked at answer choices and it can't answer for anything but the number of factors...
i did prime factorization, as other people explained above.
290=2*5*29 = total number of factors = 8.
Re: How many positive integers will divide evenly into 290? &nbs [#permalink] 22 May 2017, 15:35
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