Question

Identify the number as​ prime, composite or neither. If the number is​ composite, write it as the product of prime factors. 540

Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A. The number is prime.

B. The number is composite. Its prime factors written as a product are ( )

C. The number is neither prime nor composite.

Answer 1

Answer:B. The number is composite. Its prime factors written as a product are (5*3^3*2^2)

Explanation:

Since 540 is an even number, that means it can be divided by 2. This means that the number is composite.

You can keep dividing it by 2 until you can't anymore.

Once you divide 540 by 2 twice, then you get 135.

You can divide it by 5 because the ones digit is 5.

Then you get 27, which is 3 times itself 3 times.

You finally multiply the numbers you divided by, and you get 2*2*5*3*3*3, which is 5*3^3*2^2.