Here we have a collection of all the information you may need about the Prime Factors of 180. We will give you the definition of Prime Factors of 180, show you how to find the Prime Factors of 180 (Prime Factorization of 180) by creating a Prime Factor Tree of 180, tell you how many Prime Factors of 180 there are, and we will show you the Product of Prime Factors of 180.

Prime Factors of 180 definition

First note that prime numbers are all positive integers that can only be evenly divided by 1 and itself. Prime Factors of 180 are all the prime numbers that when multiplied together equal 180.

How to find the Prime Factors of 180

The process of finding the Prime Factors of 180 is called Prime Factorization of 180. To get the Prime Factors of 180, you divide 180 by the smallest prime number possible. Then you take the result from that and divide that by the smallest prime number. Repeat this process until you end up with 1.

This Prime Factorization process creates what we call the Prime Factor Tree of 180. See illustration below.

All the prime numbers that are used to divide in the Prime Factor Tree are the Prime Factors of 180. Here is the math to illustrate:

180 ÷ 2 = 90

90 ÷ 2 = 45

45 ÷ 3 = 15

15 ÷ 3 = 5

5 ÷ 5 = 1

Again, all the prime numbers you used to divide above are the Prime Factors of 180. Thus, the Prime Factors of 180 are:

2, 2, 3, 3, 5.

How many Prime Factors of 180?

When we count the number of prime numbers above, we find that 180 has a total of 5 Prime Factors.

Product of Prime Factors of 180

The Prime Factors of 180 are unique to 180. When you multiply all the Prime Factors of 180 together it will result in 180. This is called the Product of Prime Factors of 180. The Product of Prime Factors of 180 is:

2 × 2 × 3 × 3 × 5 = 180

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Prime Factors of 181

We hope this step-by-step tutorial to teach you about Prime Factors of 180 was helpful. Do you want a test? If so, try to find the Prime Factors of the next number on our list and then check your answer here.

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