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.

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