Selma cannot remember her locker number! She knows that her locker number is prime, and that it is a factor of 435. What are all of Selma's possible locker numbers?

Possible locker numbers for Selma are: 3, 5 and 29

Step-by-step explanation:

First of all, let us have a look at the definition of a prime number.

A prime number is a number which is divisible either by 1 or the number itself.

No other number divides the prime number other than 1 and the number itself.

Now, let us factorize the given number 435 and let us observe the what all possibilities are there.

Factorizing 145 further:

No further factors are possible.

Therefore 3, 5 and 29 are the prime factors of 435.

So, the answer is:

Possible locker numbers for Selma are: 3, 5 and 29