Q: Find three different ways to show factorizations strings of factors of the number 16?

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There are an infinite number of prime factorizations with exactly three factors. Without something more specific, we won't be able to narrow it down.

5

5

All square numbers have an odd number of factors.

The maximum number of different factors is 12 and there are 5 numbers in 1-100 which have 12 factors.

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Factors of 20 are: 1 2 4 5 10 and 20

An unlimited number.

Multiply the factors together. If the answer is the number you were factorising, the process checks out and if not, there is an error.

Prime factorizations are unique. No other number will have exactly the same number of prime factors as 28. Multiples of 14 will have some of the same factors.

Only 11 and 1 because it's a prime number.

Every prime number has exactly 2 factors, 1 and the number itself.

24x25

It varies with each given number.

As a product of its prime factors: 3*3*3*5 = 135 or as 33*5 = 135

No.

You cannot list all the potential prime factors. Any prime number can be a prime factor. There are an infinite number of prime numbers, so there are an infinite number of potential prime factors. If given a specific number, the prime factors for it can be listed.

There are an infinite number of prime factorizations with exactly three factors. Without something more specific, we won't be able to narrow it down.