Answer is 25 factors.
36^2 = (3^2 * 2^2) ^2
= 3^4 * 2^4
The # of factors is (4+1) * (4+1) = 25.
PS: there is a nice explanation on how to find total # of factors by either Ian or Stuart.
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vittalgmat, do we have any other explanation also, than one you mentioned?vittalgmat wrote:Answer is 25 factors.
36^2 = (3^2 * 2^2) ^2
= 3^4 * 2^4
The # of factors is (4+1) * (4+1) = 25.
PS: there is a nice explanation on how to find total # of factors by either Ian or Stuart.
HT Helps
PS: there is a nice explanation on how to find total # of factors by either Ian or Stuart.
can anyone pls post the link ------
Find the primes for 36 (3^2 and 2^)^2 That is 3^4 2^4
Now the primes will be
1, 2,2^2,2^3,2^4,3,3^2,3^3,3^4 =9 primes and combination of (2,2^2,2^3,2^4,3,3^2,3^3,3^4) that is 4*4=16
9+16 = 25
Now the primes will be
1, 2,2^2,2^3,2^4,3,3^2,3^3,3^4 =9 primes and combination of (2,2^2,2^3,2^4,3,3^2,3^3,3^4) that is 4*4=16
9+16 = 25
The explanation of this formula is on a following link. I found it on Google. You guys check it out.
https://mathforum.org/library/drmath/view/57151.html
https://mathforum.org/library/drmath/view/57151.html












