Prime Factorization of 120

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Prime Factors of

What is the Prime Factorization of 120?

Answer: Prime Factors of 120: 2, 2, 2, 3, 5

or

23 × 3 × 5

Explanation of number 120 Prime Factorization

Prime Factorization of 120 it is expressing 120 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 120.

Since number 120 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 120, we have to iteratively divide 120 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 120:

The smallest Prime Number which can divide 120 without a remainder is 2. So the first calculation step would look like:

120 ÷ 2 = 60

Now we repeat this action until the result equals 1:

60 ÷ 2 = 30

30 ÷ 2 = 15

15 ÷ 3 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 120. It is: 2, 2, 2, 3, 5

Or you may also write it in exponential form: 23 × 3 × 5

Prime Factor Tree of 120

We may also express the prime factorization of 120 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 120? (The answer is: 2, 2, 2, 3, 5). Pick the number for factorization (e.g. '120'). 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
1053, 5, 7
1062, 53
107107
10822 × 33
109109
1102, 5, 11
1113, 37
11224 × 7
113113
1142, 3, 19
1155, 23
11622 × 29
11732 × 13
1182, 59
1197, 17
12023 × 3 × 5
121112
1222, 61
1233, 41
12422 × 31
12553
1262 × 32 × 7
127127
12827
1293, 43
1302, 5, 13
131131
13222 × 3 × 11
1337, 19
1342, 67

FAQ

What is the Prime Factorization of 120?

Prime Factors of 120: 2, 2, 2, 3, 5

How many prime factors does 120 have?

Number 120 has 5 Prime Factors

What is the Prime Factorization of 120 in exponential form?

The Prime Factorization of the number 120 in the exponential form is: 23 × 3 × 5

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