Question 8 options:

Is this number prime or composite?



31

Type the correct answer.

Blank Space__________

prime

To determine if the number 31 is prime or composite, we need to check if it has any factors other than 1 and itself.

Starting with 2, we divide 31 by all numbers up to the square root of 31 (which is approximately 5.57).

Since 31 is not divisible evenly by any number other than 1 and itself, we can conclude that 31 is a prime number.

Therefore, the correct answer is "prime."

To determine if a number is prime or composite, we need to check if it has any factors other than 1 and itself. To do this, we can see if there are any whole numbers (other than 1 and the number itself) that divide evenly into the number.

In this case, we are given the number 31. We can check if 31 is prime or composite by dividing it by all whole numbers less than 31.

Starting with 2, we divide 31 by 2. If 31 is divisible by 2, then it is not a prime number. However, if 31 is not divisible by 2, we move on to the next number, which is 3.

Continuing this process, we find that 31 is not divisible by any whole numbers less than 31. Therefore, the number 31 is prime.

So, the correct answer is: prime.