Prime Factorization of 710

What is the Prime Factorization of 710?

Answer: Prime Factors of 710: 2, 5, 71

Explanation of number 710 Prime Factorization

Prime Factorization of 710 it is expressing 710 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 710.

Since number 710 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 710, we have to iteratively divide 710 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 710:

The smallest Prime Number which can divide 710 without a remainder is 2. So the first calculation step would look like:

710 ÷ 2 = 355

Now we repeat this action until the result equals 1:

355 ÷ 5 = 71

71 ÷ 71 = 1

Now we have all the Prime Factors for number 710. It is: 2, 5, 71

Prime Factor Tree of 710

We may also express the prime factorization of 710 as a Factor Tree:

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 710? (The answer is: 2, 5, 71). Pick the number for factorization (e.g. '710'). 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
6955, 139
69623 × 3 × 29
69717, 41
6982, 349
6993, 233
22 × 52 × 7
701
2 × 33 × 13
19, 37
26 × 11
3, 5, 47
2, 353
7, 101
22 × 3 × 59
709
2, 5, 71
71132 × 79
23 × 89
23, 31
2, 3, 7, 17
5, 11, 13
71622 × 179
3, 239
2, 359
719
24 × 32 × 5
7, 103
2 × 192
3, 241
72422 × 181

FAQ

What is the Prime Factorization of 710?

Prime Factors of 710: 2, 5, 71

How many prime factors does 710 have?

Number 710 has 3 Prime Factors