Prime Factorization of 2120

What is the Prime Factorization of 2120?

Answer: Prime Factors of 2120: 2, 2, 2, 5, 53

or

23 × 5 × 53

Explanation of number 2120 Prime Factorization

Prime Factorization of 2120 it is expressing 2120 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 2120.

Since number 2120 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 2120, we have to iteratively divide 2120 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 2120:

The smallest Prime Number which can divide 2120 without a remainder is 2. So the first calculation step would look like:

2120 ÷ 2 = 1060

Now we repeat this action until the result equals 1:

1060 ÷ 2 = 530

530 ÷ 2 = 265

265 ÷ 5 = 53

53 ÷ 53 = 1

Now we have all the Prime Factors for number 2120. It is: 2, 2, 2, 5, 53

Or you may also write it in exponential form: 23 × 5 × 53

Prime Factor Tree of 2120

We may also express the prime factorization of 2120 as a Factor Tree:

Related Calculations

See Also

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 2120? (The answer is: 2, 2, 2, 5, 53). Pick the number for factorization (e.g. '2120'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

Prime Factorization Table

NumberPrime Factors
21055, 421
21062 × 34 × 13
210772 × 43
210822 × 17 × 31
21093, 19, 37
21102, 5, 211
21112111
211226 × 3 × 11
21132113
21142, 7, 151
211532 × 5 × 47
211622 × 232
211729, 73
21182, 3, 353
211913, 163
23 × 5 × 53
21213, 7, 101
21222, 1061
212311, 193
212422 × 32 × 59
53 × 17
21262, 1063
21273, 709
212824 × 7 × 19
21292129
21302, 3, 5, 71
21312131
213222 × 13 × 41
213333 × 79
21342, 11, 97

FAQ

What is the Prime Factorization of 2120?

Prime Factors of 2120: 2, 2, 2, 5, 53

How many prime factors does 2120 have?

Number 2120 has 5 Prime Factors

What is the Prime Factorization of 2120 in exponential form?

The Prime Factorization of the number 2120 in the exponential form is: 23 × 5 × 53