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# Math: Number Theory

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Intern
Joined: 01 Sep 2016
Posts: 32

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27 Oct 2016, 02:30
• Any positive divisor of n is a product of prime divisors of n raised to some power.

pls someone explain with example
Math Expert
Joined: 02 Sep 2009
Posts: 44655

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27 Oct 2016, 03:59
sanaexam wrote:
• Any positive divisor of n is a product of prime divisors of n raised to some power.

pls someone explain with example

For example, say n = 72. Consider it's factor 36 --> $$36 = 2^2*3^2$$ --> 36 = product of prime divisors of n raised to some power.
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Joined: 22 May 2017
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23 May 2017, 16:47
Bunuel wrote:
NUMBER THEORY

Fractions (also known as rational numbers) can be written as terminating (ending) or repeating decimals (such as 0.5, 0.76, or 0.333333....).

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0.333333... looks like a recurring decimal and is not a rational number. This can be better modified as 0.33333 etc so it is less confusing in my opinion.
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Joined: 02 Sep 2009
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24 May 2017, 04:02
workout wrote:
Bunuel wrote:
NUMBER THEORY

Fractions (also known as rational numbers) can be written as terminating (ending) or repeating decimals (such as 0.5, 0.76, or 0.333333....).

--------------------------------------------------------

0.333333... looks like a recurring decimal and is not a rational number. This can be better modified as 0.33333 etc so it is less confusing in my opinion.

0.333333... IS a rational number because it equals to the ratio of two integers: 1/3 = 0.3333......
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28 Feb 2018, 18:18
1
KUDOS

Sum of First "n" natural nos = n(n+1)/2
Sum of First "n" ODD natural nos = n^2
Sum of First "n" EVEN natural nos = n (n+1)
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Intern
Joined: 20 Dec 2014
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27 Mar 2018, 05:40
Hi Bunuel
The topic doesn’t touch up on LCM and HCF for fractions..

LCM( (a/b) , (c/d) ) = LCM(a,c)/HCF(b,d))

HCF( (a/b) , (c/d) ) = HCF(a,c)/LCM(b,d)

Question from where I started to look for the theory:
https://gmatclub.com/forum/what-is-the- ... ml#p818818
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Re: Math: Number Theory   [#permalink] 27 Mar 2018, 05:40

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