Question

Direction: Study the following information carefully to answer the questions that follow.

Jimmy taught the concept of factors in her class, after which she decided to take a test to find out if the students were able to understand the concept properly. She prepared a test with five questions and gave it to her colleague John to verify the answers. John did not find any errors in the questions, but Jimmy was still not convinced. Help her reverify the answers to the five questions.

In how many different ways $1500$ can be written as a product of two natural numbers?

• A. $9$
• B. $8$
• C. $10$
• D. $12$

Answer 1

The correct option is D $12$

$1500=22\times 3\times 53$.

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

So, the number of different ways in which $1500$ can be written as a product of two natural numbers $=\frac{24}{2}=12$
Hence, option $D$ is the correct answer.