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# How many positive integers will divide evenly into 290?

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Math Expert
Joined: 02 Sep 2009
Posts: 52108
How many positive integers will divide evenly into 290?  [#permalink]

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15 Apr 2016, 00:05
00:00

Difficulty:

45% (medium)

Question Stats:

61% (01:00) correct 39% (01:32) wrong based on 110 sessions

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How many positive integers will divide evenly into 290?

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

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Math Expert
Joined: 02 Aug 2009
Posts: 7199
Re: How many positive integers will divide evenly into 290?  [#permalink]

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15 Apr 2016, 05:28
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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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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

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15 Apr 2016, 09:24
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

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

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20 Apr 2016, 13:52
Math Expert
Joined: 02 Sep 2009
Posts: 52108
Re: How many positive integers will divide evenly into 290?  [#permalink]

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20 Apr 2016, 23:16
1
stonecold wrote:
I am a bit confused here..
What does EVENLY DIVIDE MEAN ..
I solved it correctly but still feel i dont understand this term

It means divide without a remainder.
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Re: How many positive integers will divide evenly into 290?  [#permalink]

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22 May 2017, 14:35
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, 14:35
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