Prime Factorization of 780

What is the Prime Factorization of 780?

Answer: Prime Factors of 780: 2, 2, 3, 5, 13

or

22 × 3 × 5 × 13

Explanation of number 780 Prime Factorization

Prime Factorization of 780 it is expressing 780 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 780.

Since number 780 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 780, we have to iteratively divide 780 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 780:

The smallest Prime Number which can divide 780 without a remainder is 2. So the first calculation step would look like:

780 ÷ 2 = 390

Now we repeat this action until the result equals 1:

390 ÷ 2 = 195

195 ÷ 3 = 65

65 ÷ 5 = 13

13 ÷ 13 = 1

Now we have all the Prime Factors for number 780. It is: 2, 2, 3, 5, 13

Or you may also write it in exponential form: 22 × 3 × 5 × 13

Prime Factor Tree of 780

We may also express the prime factorization of 780 as a Factor Tree:

Prime factors of 780 factorization tree of 780

Related Calculations

Prime Factorization Table

NumberPrime Factors
32 × 5 × 17
7662, 383
13, 59
28 × 3
769
2, 5, 7, 11
7713, 257
22 × 193
773773
2 × 32 × 43
77552 × 31
23 × 97
3, 7, 37
2, 389
19, 41
22 × 3 × 5 × 13
78111, 71
2, 17, 23
33 × 29
24 × 72
5, 157
2, 3, 131
787787
78822 × 197
7893, 263
7902, 5, 79
7917, 113
23 × 32 × 11
13, 61
2, 397

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 780? (The answer is: 2, 2, 3, 5, 13). Pick the number for factorization (e.g. '780'). 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 780?

Prime Factors of 780: 2, 2, 3, 5, 13

How many prime factors does 780 have?

Number 780 has 5 Prime Factors

What is the Prime Factorization of 780 in exponential form?

The Prime Factorization of the number 780 in the exponential form is: 22 × 3 × 5 × 13