Middle School

Identify whether the number is prime or composite. If the number is composite, then identify the factors.

Number: 93

A. Prime
B. Composite; 1, 93
C. Composite; 1, 3, 31, 93
D. Composite; 1, 3, 31, 93

Answer :

C and D are the same?

But the answer is composite. It's factors are 1, 3, 31 and 93

Final answer:

The number 93 is a composite number with factors of 1, 3, 31, and 93. It is divisible by 3, which makes it not a prime number. So the correct option is C.

Explanation:

To determine whether the number 93 is prime or composite, we must find out if there are any divisors of 93 other than 1 and itself. By definition, a prime number is a number that only has two factors: 1 and the number itself, while a composite number has more than two factors.

Upon checking for factors other than 1 and 93, we find that 93 is divisible by 3 (since 9 + 3 = 12, and 12 is divisible by 3). The division 93 ÷ 3 yields 31. Therefore, 93 has factors of 3 and 31. This confirms that 93 is not prime but composite, and its factors are 1, 3, 31, and 93.

The correct answer to whether the number 93 is prime or composite, and its factors is:

C) composite; 1, 3, 31, 93