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# How many Prime factors does 2180 have?

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Manager
Joined: 21 Jul 2018
Posts: 136
How many Prime factors does 2180 have?  [#permalink]

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27 Jan 2019, 20:02
00:00

Difficulty:

35% (medium)

Question Stats:

64% (01:31) correct 36% (01:11) wrong based on 36 sessions

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How many prime numbers between 1 and 100 are factors of 2180?

A. One
B. Two
C. Three
D. Four
E. Five

_________________

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Press +1 Kudos if my post helped you a little and help me to ulcock the tests Wish you all success

I'd appreciate learning about the grammatical errors in my posts

Please let me know if I'm wrong somewhere

Math Expert
Joined: 02 Aug 2009
Posts: 7334
How many Prime factors does 2180 have?  [#permalink]

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27 Jan 2019, 20:29
Gmatprep550 wrote:
How many prime numbers between 1 and 100 are factors of 2180?

A. One
B. Two
C. Three
D. Four
E. Five

2180 = 10*218=2*5*2*109..

It is all about knowing if 109 is prime now..
Check for divisibility till 11 as 11^2>109...
So check for 2,3,5,7,11...
2 and 5 are already factors, so check for others..

Not divisible by 3 as sum of digits is 1+0+9=10, not divisible by 3
Check for 7 but 105 is 7*15, so 109 is not divisible and also 11*10=110..

So only 2 and 5

B
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

GMAT Expert

Math Expert
Joined: 02 Sep 2009
Posts: 52905
Re: How many Prime factors does 2180 have?  [#permalink]

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27 Jan 2019, 20:30
Gmatprep550 wrote:
How many prime numbers between 1 and 100 are factors of 2180?

A. One
B. Two
C. Three
D. Four
E. Five

This is a copy of the following OG question: https://gmatclub.com/forum/how-many-pri ... 44445.html
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Manager
Joined: 21 Jul 2018
Posts: 136
Re: How many Prime factors does 2180 have?  [#permalink]

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27 Jan 2019, 21:12
Bunuel wrote:
Gmatprep550 wrote:
How many prime numbers between 1 and 100 are factors of 2180?

A. One
B. Two
C. Three
D. Four
E. Five

This is a copy of the following OG question: https://gmatclub.com/forum/how-many-pri ... 44445.html

Hi Bunel,

This is a same type of question with same condition but there is a difference that above question do have prime factor out side 100 and the question you have mention do not hence I added it for practice of others.
_________________

______________________________
Press +1 Kudos if my post helped you a little and help me to ulcock the tests Wish you all success

I'd appreciate learning about the grammatical errors in my posts

Please let me know if I'm wrong somewhere

Re: How many Prime factors does 2180 have?   [#permalink] 27 Jan 2019, 21:12
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