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How many positive integers will divide evenly into 290?

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Bunuel
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How many positive integers will divide evenly into 290? [#permalink] New post   15 Apr 2016, 01:05
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A
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C
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63% (01:01) correct 37% (01:21) wrong based on 163 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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C
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chetan2u
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Re: How many positive integers will divide evenly into 290? [#permalink] New post   15 Apr 2016, 06:28
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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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Abhishek009
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How many positive integers will divide evenly into 290? [#permalink] 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] New post   20 Apr 2016, 14:52
I am a bit confused here..
What does EVENLY DIVIDE MEAN ..
I solved it correctly but still feel i dont understand this term
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Bunuel
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Re: How many positive integers will divide evenly into 290? [#permalink] New post   21 Apr 2016, 00:16
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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] 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.
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Sri07
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Re: How many positive integers will divide evenly into 290? [#permalink] New post   22 Sep 2020, 03:55
Bunuel wrote:
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.


I am a bit confused on this Question. It says how many integers divide into 290. I thought it meant how many numbers when divided by something will result into 290. To which the only answer would be Infinity.

Can you help understand why is the answer Factors?

Bunuel
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Re: How many positive integers will divide evenly into 290? [#permalink] New post   22 Sep 2020, 04:06
Divide equally means the divisor will be a factor of dividend (290 in the this case). So question is asking about number of factors of 290 or count of those numbers which divide 290.
Example: How many numbers divide 10 equally.
Sol: Factors of 10= 1,2,5,10= Total 04 factors..
10 = 2^1 x 5^1
Number of factors = (1+1) ×(1+1) =2 × 2 = 4

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Re: How many positive integers will divide evenly into 290? [#permalink]
22 Sep 2020, 04:06
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