Prime Factorization of 765

What is the Prime Factorization of 765?

Answer: Prime Factors of 765: 3, 3, 5, 17

or

32 × 5 × 17

Explanation of number 765 Prime Factorization

Prime Factorization of 765 it is expressing 765 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 765.

Since number 765 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 765, we have to iteratively divide 765 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 765:

The smallest Prime Number which can divide 765 without a remainder is 3. So the first calculation step would look like:

765 ÷ 3 = 255

Now we repeat this action until the result equals 1:

255 ÷ 3 = 85

85 ÷ 5 = 17

17 ÷ 17 = 1

Now we have all the Prime Factors for number 765. It is: 3, 3, 5, 17

Or you may also write it in exponential form: 32 × 5 × 17

Prime Factor Tree of 765

We may also express the prime factorization of 765 as a Factor Tree:

Prime factors of 765 factorization tree of 765

Prime Factorization Table

NumberPrime Factors
2 × 3 × 53
751751
24 × 47
7533, 251
2, 13, 29
7555, 151
22 × 33 × 7
757
7582, 379
3, 11, 23
23 × 5 × 19
761
2, 3, 127
7637, 109
22 × 191
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

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 765? (The answer is: 3, 3, 5, 17). Pick the number for factorization (e.g. '765'). 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 765?

Prime Factors of 765: 3, 3, 5, 17

How many prime factors does 765 have?

Number 765 has 4 Prime Factors

What is the Prime Factorization of 765 in exponential form?

The Prime Factorization of the number 765 in the exponential form is: 32 × 5 × 17