How many odd factors does 24500 have?

Question

How many positive odd factors does 24500 have?

A. 6
B. 12
C. 24
D. 36
E. None of the above

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itsyodaa · Answer

take the LCM of 24500 = 2^2* 5^3 *7^2 
For odd factor remove all 2's factor and calculate the other factors
it should be (3+1)*(2+1) = 12 odd factor

EshaFatim · Answer

prime Factorizing 24500 we get =  2^2*5^3*7^2

to consider total odd factors, let's use the prime odds' powers here only -

(3+1)*(2+1) = 12 .

itsyodaa · Answer

ANs should be 12 not 24 please check again

EshaFatim · Answer

You're right. My mistake! Edited accordingly. Thanks!

sushanth21 · Answer

prime Factorizing 24500 we get =  
  2^2∗5^3∗7^2

total odd factors, use the prime odds powers here

(3+1)∗(2+1)=12

QuantMadeEasy · Answer

Concept tested: number of odd factors are the factors excluding even factors

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https://www.youtube.com/watch?v=-mwKRBVf1QI 
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