Number Theory

# Prime Factor Trees

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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