How many positive factors of 36 are there? | vedclass

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(C) To find the number of positive factors of $36$,we first find its prime factorization.$36 = 6 	imes 6 = (2 	imes 3) 	imes (2 	imes 3) = 2^{2} \

Vedclass · Accepted Answer

$9$

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(C) To find the number of positive factors of $36$,we first find its prime factorization.$36 = 6 	imes 6 = (2 	imes 3) 	imes (2 	imes 3) = 2^{2} 	imes 3^{2}$.If a number is expressed as $p^{a} 	imes q^{b}$,where $p$ and $q$ are prime numbers,the total number of factors is given by $(a+1)(b+1)$.Here,$a = 2$ and $b = 2$.Therefore,the number of factors $= (2+1) 	imes (2+1) = 3 	imes 3 = 9$.

How many positive factors of $36$ are there?

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