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Math: Number Theory

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Re: Math: Number Theory [#permalink]

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New post 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
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Re: Math: Number Theory [#permalink]

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New post 27 Oct 2016, 03:59
Expert's post
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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Re: Math: Number Theory [#permalink]

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New post 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....).

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


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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Re: Math: Number Theory [#permalink]

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New post 24 May 2017, 04:02
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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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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: Math: Number Theory [#permalink]

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New post 28 Feb 2018, 18:18
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Adding Few Formulas

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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Re: Math: Number Theory [#permalink]

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New post 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)

Please add if tested on GMAT.

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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