How many positive factors of 36 are there? | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

$9$

Vedclass · Answer

(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?

Similar Questions

The sum of five consecutive even numbers of set-$A$ is $220$. What is the sum of a different set of five consecutive numbers whose second lowest number is $37$ less than double the lowest number of set-$A$?

The quotient arising from a division of a number by $62$ is $463$ and the remainder is $60$. What is the number?

Arranging the following in descending order,we get $\sqrt[3]{4}, \sqrt{2}, \sqrt[6]{3}, \sqrt[4]{5}$.

$(0.83 \times 0.83 \times 0.83 + 0.17 \times 0.17 \times 0.17)$ is equal to ...........

Find the least number which when divided by $12, 18, 36$ and $45$ leaves the remainder $8, 14, 32$ and $41$ respectively.

Vedclass Test Series

Exam Paper Generator

Online Exam Module