Let's try to find some primes that divide this number.
The number is not divisible by 2, because it is odd.
The number is divisible by 3 though, because the sum of its digits is:

So, we can divide the number by 3 and keep going with the factorization:

This number is again divisible by 3, because

We have

This number is no longer divisible by 3. Let's go on looking for primes that divide it: 5 doesn't because the number doesn't end in 0 nor 5. This number is not divisible by 7 or 11 either (just try). It is divisible by 13 though: we have

And 557 is prime, so we're done. This means that the prime factorization of 65169 is

Answer:

Step-by-step explanation:
Not the best, teachers are so annoying lol. Hope you are doing well though, don’t give up❤️
A. After the mod. One wall is “x” longer than original (horizontal in diagram) and the other is “x” shorter (vertical)
(30+x)(30-x)
b. He original area = 30 x 30 = 900 sq. ft.
The mod. Area is (30+6)(30-6) = 36x24= 764 sq. ft.
So the room was largest to begin with when it was a square