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# How many factors greater than one

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Intern
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How many factors greater than one [#permalink]  15 Mar 2019, 11:27
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Question Stats:

66% (01:16) correct 33% (01:31) wrong based on 3 sessions
How many factors greater than one, do 120, 210 & 270 have?

a. 1
b. 3
c. 7.
d. 12.
e. Infinite
[Reveal] Spoiler: OA

Last edited by Carcass on 21 Sep 2019, 10:39, edited 2 times in total.
Fixed OAs
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Re: Common Prime Factors [#permalink]  15 Mar 2019, 11:43
Expert's post
$$120 = 12 x 10 = 2^2 x 3 x 5$$

$$210 = 21 x 10 = 2 x 3 x 5 x 7$$

$$270 = 27 x 10 = 2 x 3^2 x 5$$

just take out the common factors from above

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

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Intern
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Re: Common Prime Factors [#permalink]  21 Sep 2019, 07:30
1
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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
Re: Common Prime Factors   [#permalink] 21 Sep 2019, 07:30
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