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# Prime Factorization and Divisors

Learn how to break down numbers big and small, as proposed by the Fundamental Theorem of Arithmetic.

# 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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