Number Theory
# Prime Factorization and Divisors

If you complete this factor tree, what number must replace the question mark?

**Details and assumptions:**

$a, b$ and $c$ are prime numbers.

How many of these trees are correct prime factor trees for 28?

If $x$ and $y$ are primes, what is the relationship between $A$ and $B?$

Given their structures, could both of these trees be prime factor trees for the same number?

Which of these numbers has a prime factor tree that's shaped like the one below?

**Details and assumptions:**

$x$ is a prime number.