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How many factors greater than one

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cbdscolin
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How many factors greater than one [#permalink] New post   Updated on: 21 Sep 2019, 10:39
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How many factors greater than one, do 120, 210 & 270 have?

a. 1
b. 3
c. 7.
d. 12.
e. Infinite
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Official Answer
D

Originally posted by cbdscolin on 15 Mar 2019, 11:27.
Last edited by Carcass on 21 Sep 2019, 10:39, edited 2 times in total.
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Carcass
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Re: Common Prime Factors [#permalink] New post   15 Mar 2019, 11:43
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\(120 = 12 x 10 = 2^2 x 3 x 5\)

\(210 = 21 x 10 = 2 x 3 x 5 x 7\)

\(270 = 27 x 10 = 2 x 3^2 x 5\)

just take out the common factors from above

2,3,5,6,10,15,30


The answer is D
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Ash31
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Re: Common Prime Factors [#permalink] New post   21 Sep 2019, 07:30
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Correct answer is option C - 7
120=(2^3)*5*3
210=2*5*3*7
270=2*5*(3^3)
Common terms = 2*5*3
Total No. of Factors = (1+1)*(1+1)*(1+1)=8
No. of factors greater than 1 = 8-1=7
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nhinguyen151
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Re: How many factors greater than one [#permalink] New post   15 Mar 2022, 22:36
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Re: How many factors greater than one [#permalink]
15 Mar 2022, 22:36
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