Question

How many positive factors are there of the number $360$?

• A. $24$
• B. $36$
• C. $40$
• D. $52$

Answer 1

Answer: (A)

$24$

$360$

$360=6\times 6\times 10=2\times 3\times 2\times 3\times 2\times 3\times 2\times 5={\left(2\right)}^3\times {\left(3\right)}^2\times {\left(5\right)}^1$

Number of solution or positive factors

$=(3+1)(2+1)(1+1)=4\times 3\times 2=24$

Number of factors $=24$