Prime Factorization of 240

What is the Prime Factorization of 240?

Answer: Prime Factors of 240: 2, 2, 2, 2, 3, 5

or

24 × 3 × 5

Explanation of number 240 Prime Factorization

Prime Factorization of 240 it is expressing 240 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 240.

Since number 240 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 240, we have to iteratively divide 240 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 240:

The smallest Prime Number which can divide 240 without a remainder is 2. So the first calculation step would look like:

240 ÷ 2 = 120

Now we repeat this action until the result equals 1:

120 ÷ 2 = 60

60 ÷ 2 = 30

30 ÷ 2 = 15

15 ÷ 3 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 240. It is: 2, 2, 2, 2, 3, 5

Or you may also write it in exponential form: 24 × 3 × 5

Prime Factor Tree of 240

We may also express the prime factorization of 240 as a Factor Tree:

Prime factors of 240 factorization tree of 240

Prime Factorization Table

NumberPrime Factors
32 × 52
2, 113
227
22 × 3 × 19
229
2, 5, 23
3, 7, 11
23 × 29
233
2 × 32 × 13
5, 47
22 × 59
3, 79
2, 7, 17
239
24 × 3 × 5
241
2 × 112
35
22 × 61
5 × 72
2, 3, 41
13, 19
23 × 31
3, 83
2 × 53
251
22 × 32 × 7
11, 23
2, 127

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 240? (The answer is: 2, 2, 2, 2, 3, 5). Pick the number for factorization (e.g. '240'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

FAQ

What is the Prime Factorization of 240?

Prime Factors of 240: 2, 2, 2, 2, 3, 5

How many prime factors does 240 have?

Number 240 has 6 Prime Factors

What is the Prime Factorization of 240 in exponential form?

The Prime Factorization of the number 240 in the exponential form is: 24 × 3 × 5