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what is the prime factorization of 72?

2⋅2⋅2⋅3⋅3

2⋅2⋅2⋅5

2⋅2⋅2⋅3

2⋅2⋅3⋅3⋅3

2 x 2 x 2 x 3 x 3

Step-by-step explanation: To find the prime factorization of 72, remember that prime factorization is just finding the prime numbers that can be multiplied together to get the original number.

First, let's create a factor tree so we can visualize this better. 76 can have two branches coming down from it because 2 multiplied by 36 gives us 72. Now, we can circle the 72 because it's prime.

Next, 2 multiplied by 18 gives us a product of 32 so we can create two more branches coming down from 36 and we can circle the 2 because it's a prime number.

Then, 2 multiplied by 9 gives us 18 so we can create two more branches coming down from 18 and we will circle the number 2 because it's a prime number.

Finally, 3 multiplied by 3 gives us a product of 9 so we can create two more branches coming down from 9 and we will circle both 3's because they are both prime numbers.

Now, we can multiply all of our prime numbers we circle which is as followed.

2 x 2 x 2 x 3 x 3 = 72

Image provided.

Hey!

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Solution:

In Picture!

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A) 2⋅2⋅2⋅3⋅3

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Hope This Helped! Good Luck!

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