Prime Factorization of 767

What is the Prime Factorization of 767?

Answer: Prime Factors of 767: 13, 59

Explanation of number 767 Prime Factorization

Prime Factorization of 767 it is expressing 767 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 767.

Since number 767 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 767, we have to iteratively divide 767 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 767:

The smallest Prime Number which can divide 767 without a remainder is 13. So the first calculation step would look like:

767 ÷ 13 = 59

Now we repeat this action until the result equals 1:

59 ÷ 59 = 1

Now we have all the Prime Factors for number 767. It is: 13, 59

Prime Factor Tree of 767

We may also express the prime factorization of 767 as a Factor Tree:

Related Calculations

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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 767? (The answer is: 13, 59). Pick the number for factorization (e.g. '767'). 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
75224 × 47
7533, 251
7542, 13, 29
7555, 151
22 × 33 × 7
757
7582, 379
3, 11, 23
23 × 5 × 19
761
7622, 3, 127
7, 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
52 × 31
23 × 97
3, 7, 37
2, 389
19, 41
22 × 3 × 5 × 13
78111, 71

FAQ

What is the Prime Factorization of 767?

Prime Factors of 767: 13, 59

How many prime factors does 767 have?

Number 767 has 2 Prime Factors