Logic supports math

A number N N is the positive square root of 2209. What is the sum when you add all the positive factors of N N ?


The answer is 48.

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11 solutions

Prasun Biswas
Apr 1, 2014

If we take the general principle square root value of 2209 2209 , then we get --->

2209 = 47 \sqrt{2209}=47

Now, since 47 47 is a prime number, so only 1 1 and the no. itself, i.e., 47 47 are its factors.

So, sum of factors = 47 + 1 = 48 =47+1=\boxed{48}

how about -1 and -47?

Frenzie Martinez - 7 years, 2 months ago

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Thanks, I have edited the question for clarity.

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Calvin Lin Staff - 6 years, 9 months ago

That is the reason I said "Taking principal sq. root value", i.e., taking the positive sq. root values only as if we take ( 1 ) (-1) and ( 47 ) (-47) as the factors, then the sum will be ( 47 1 ) = ( 48 ) (-47-1)=(-48) which would not be accepted as the answer by the server. Moreover, when we say factors of a number, we mean to say the positive factors only. Do you ever say that ( 8 ) (-8) is a factor of 24 24 ??

Prasun Biswas - 7 years, 2 months ago

sir, it is given that it is positive

Gaurav Purswani - 6 years, 4 months ago

N = 2209 = 47 N=\sqrt{2209}=47 The only factors of 47 47 are 1 1 and 47 47 And 47 + 1 = 48 47+1=\boxed{48}

Vishal V Desai
May 30, 2014

The only factors of 47 are 1 and itself as it is a prime number. So, the answer is 48

Krishna Garg
Apr 26, 2014

Squire root of 2209 is 47 ,it's faqctors are 47 and 1,when we add answer is 48. K.K.GARG,India

Extract the square root of 2209, which results to 47. The prime factors of 47 includes 47 and 1 (identity property of multiplication) Add the factors 47 + 1 = 48

Abdul Moazzam
Apr 1, 2014

Square root of 2209 is 47, whose factors are 1 & 47. The sum of factors is 1+47=48

Aman Srivastava
Mar 21, 2014

Ans:-48 x=2209^(1/2) x=47 is a prime no. sum=47+1=48

Anand Shankar
Mar 19, 2014

the no is =x. x=(2209)^1/2 u will get 47. now the factor of 47 is=47*1. so sum of its factor =47+1=48

Rekha Rani
Mar 10, 2014

sqrt(2209)=47, factors of 2209=1, 47, sum of two factors= 1+47=48, answer=48

Shivangi Sharma
Mar 2, 2014

\sqrt { 2209 } = 47 Factors of 47= 1,47 Sum of factors = 1+47 = 48

Jeremy Bansil
Mar 1, 2014

As 47 is a prime number, add it by one.

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