Prime Factorization of 2520

What is the Prime Factorization of 2520?

Answer: Prime Factors of 2520: 2, 2, 2, 3, 3, 5, 7

or

23 × 32 × 5 × 7

Explanation of number 2520 Prime Factorization

Prime Factorization of 2520 it is expressing 2520 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 2520.

Since number 2520 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 2520, we have to iteratively divide 2520 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 2520:

The smallest Prime Number which can divide 2520 without a remainder is 2. So the first calculation step would look like:

2520 ÷ 2 = 1260

Now we repeat this action until the result equals 1:

1260 ÷ 2 = 630

630 ÷ 2 = 315

315 ÷ 3 = 105

105 ÷ 3 = 35

35 ÷ 5 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 2520. It is: 2, 2, 2, 3, 3, 5, 7

Or you may also write it in exponential form: 23 × 32 × 5 × 7

Prime Factor Tree of 2520

We may also express the prime factorization of 2520 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 2520? (The answer is: 2, 2, 2, 3, 3, 5, 7). Pick the number for factorization (e.g. '2520'). 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
25053, 5, 167
25062, 7, 179
250723, 109
250822 × 3 × 11 × 19
250913, 193
25102, 5, 251
251134 × 31
251224 × 157
25137, 359
25142, 3, 419
25155, 503
251622 × 17 × 37
25173, 839
25182, 1259
251911, 229
23 × 32 × 5 × 7
25212521
25222, 13, 97
25233 × 292
252422 × 631
52 × 101
25262, 3, 421
25277 × 192
252825 × 79
252932 × 281
25302, 5, 11, 23
25312531
253222 × 3 × 211
253317, 149
25342, 7, 181

FAQ

What is the Prime Factorization of 2520?

Prime Factors of 2520: 2, 2, 2, 3, 3, 5, 7

How many prime factors does 2520 have?

Number 2520 has 7 Prime Factors

What is the Prime Factorization of 2520 in exponential form?

The Prime Factorization of the number 2520 in the exponential form is: 23 × 32 × 5 × 7