How many positive factors of 160 are there? | vedclass

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(D) To find the number of positive factors of $160$,we first perform the prime factorization of $160$.$160 = 16 	imes 10$$160 = 2^{4} 	imes (2 	ime

Vedclass · Accepted Answer

$12$

Vedclass · Answer

(D) To find the number of positive factors of $160$,we first perform the prime factorization of $160$.$160 = 16 	imes 10$$160 = 2^{4} 	imes (2 	imes 5)$$160 = 2^{5} 	imes 5^{1}$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,$a = 5$ and $b = 1$.Total number of factors $= (5+1) 	imes (1+1)$$= 6 	imes 2 = 12$.

How many positive factors of $160$ are there?

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