Prime Factorization of 723

What is the Prime Factorization of 723?

Answer: Prime Factors of 723: 3, 241

Explanation of number 723 Prime Factorization

Prime Factorization of 723 it is expressing 723 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 723.

Since number 723 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 723, we have to iteratively divide 723 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 723:

The smallest Prime Number which can divide 723 without a remainder is 3. So the first calculation step would look like:

723 ÷ 3 = 241

Now we repeat this action until the result equals 1:

241 ÷ 241 = 1

Now we have all the Prime Factors for number 723. It is: 3, 241

Prime Factor Tree of 723

We may also express the prime factorization of 723 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 723? (The answer is: 3, 241). Pick the number for factorization (e.g. '723'). 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
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
52 × 29
2 × 3 × 112
727
23 × 7 × 13
36
2, 5, 73
73117, 43
73222 × 3 × 61
733733
2, 367
3 × 5 × 72
25 × 23
73711, 67

FAQ

What is the Prime Factorization of 723?

Prime Factors of 723: 3, 241

How many prime factors does 723 have?

Number 723 has 2 Prime Factors