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Q: How can you show your work on how to write 84 as the product of prime numbers?

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Showing a composite number as a product of prime numbers is called prime factorization.

24 as a product of prime numbers is 2 x 2 x 2 x 3.

It will take six. 2 x 2 x 2 x 2 x 2 x 2 = 64

3 x 5 x 5 = 75

There are no prime numbers in that range.

The surviving records of the ancient Egyptians show that they had some knowledge of prime numbers

That's an infinite list.

Impossible. The number is infinite.

That's an infinite list.

2,2,2,2,2,3,3, and 3 are the prime factors the product is show like this... 2x2x2x2x2x3x3x3=864 or 25 x 33 = 864

Start by listing out all pairs of numbers greater than 0 and less than or equal to 120 that have a product equal to 120:120 = 1 x 120120 = 2 x 60120 = 3 x 40120 = 4 x 30120 = 5 x 24120 = 6 x 20120 = 8 x 15120 = 10 x 12So, there are 8 factor pairs of 120. Now, show the prime factorization for 120 by expressing it as the product of ALL prime numbers:120 = 2 x 60

13 is already prime. Just write it down.

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