Prime Factorization of 180

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Prime Factors of

What is the Prime Factorization of 180?

Answer: Prime Factors of 180: 2, 2, 3, 3, 5

or

22 × 32 × 5

Explanation of number 180 Prime Factorization

Prime Factorization of 180 it is expressing 180 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 180.

Since number 180 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 180, we have to iteratively divide 180 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 180:

The smallest Prime Number which can divide 180 without a remainder is 2. So the first calculation step would look like:

180 ÷ 2 = 90

Now we repeat this action until the result equals 1:

90 ÷ 2 = 45

45 ÷ 3 = 15

15 ÷ 3 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 180. It is: 2, 2, 3, 3, 5

Or you may also write it in exponential form: 22 × 32 × 5

Prime Factor Tree of 180

We may also express the prime factorization of 180 as a Factor Tree:

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About "Prime Factorization" Calculator

This calculator will perform a Prime Factorization of any given number and will show all its Prime Factors. For example, it can help you find out what is the Prime Factorization of 180? (The answer is: 2, 2, 3, 3, 5). Pick the number for factorization (e.g. '180'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

"Prime Factorization" Calculator

Prime Factors of

Prime Factorization Table

NumberPrime Factors
1653, 5, 11
1662, 83
167167
16823 × 3 × 7
169132
1702, 5, 17
17132 × 19
17222 × 43
173173
1742, 3, 29
17552 × 7
17624 × 11
1773, 59
1782, 89
179179
18022 × 32 × 5
181181
1822, 7, 13
1833, 61
18423 × 23
1855, 37
1862, 3, 31
18711, 17
18822 × 47
18933 × 7
1902, 5, 19
191191
19226 × 3
193193
1942, 97

FAQ

What is the Prime Factorization of 180?

Prime Factors of 180: 2, 2, 3, 3, 5

How many prime factors does 180 have?

Number 180 has 5 Prime Factors

What is the Prime Factorization of 180 in exponential form?

The Prime Factorization of the number 180 in the exponential form is: 22 × 32 × 5

See Also