Answer:
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 <em>prime number</em> 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.
![435 = 3\times 145](https://tex.z-dn.net/?f=435%20%3D%203%5Ctimes%20145)
Factorizing 145 further:
![435 = 3\times 5\times 29](https://tex.z-dn.net/?f=435%20%3D%203%5Ctimes%205%5Ctimes%2029)
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