Question

In how many ways can 1500 be resolved into two factors ?

• A. 18
• B. 12
• C. 24
• D. 36

Answer 1

The correct option is B 12

Number of ways in which 1500 can be resolved into two factors worked out using the concept given by

Number of factors of 1500 / 2

$1500=3\times 5^3\times 2^2$

Number of factors of 1500 = $(1+1)(3+1)(2+1)=24$

Therefore, number of ways in which 1500 can be resolved into two factors = $\frac{24}{2}=12$.