Prime Factorization of 713

What is the Prime Factorization of 713?

Answer: Prime Factors of 713: 23, 31

Explanation of number 713 Prime Factorization

Prime Factorization of 713 it is expressing 713 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 713.

Since number 713 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 713, we have to iteratively divide 713 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 713:

The smallest Prime Number which can divide 713 without a remainder is 23. So the first calculation step would look like:

713 ÷ 23 = 31

Now we repeat this action until the result equals 1:

31 ÷ 31 = 1

Now we have all the Prime Factors for number 713. It is: 23, 31

Prime Factor Tree of 713

We may also express the prime factorization of 713 as a Factor Tree:

Prime factors of 713 factorization tree of 713

Prime Factorization Table

NumberPrime Factors
6982, 349
6993, 233
22 × 52 × 7
701
2 × 33 × 13
70319, 37
26 × 11
3, 5, 47
7062, 353
7, 101
22 × 3 × 59
709
2, 5, 71
71132 × 79
71223 × 89
23, 31
2, 3, 7, 17
5, 11, 13
71622 × 179
7173, 239
2, 359
719
24 × 32 × 5
7, 103
2 × 192
3, 241
72422 × 181
52 × 29
2 × 3 × 112
727

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 713? (The answer is: 23, 31). Pick the number for factorization (e.g. '713'). 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 713?

Prime Factors of 713: 23, 31

How many prime factors does 713 have?

Number 713 has 2 Prime Factors