Prime Factorization of 749

What is the Prime Factorization of 749?

Answer: Prime Factors of 749: 7, 107

Explanation of number 749 Prime Factorization

Prime Factorization of 749 it is expressing 749 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 749.

Since number 749 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 749, we have to iteratively divide 749 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 749:

The smallest Prime Number which can divide 749 without a remainder is 7. So the first calculation step would look like:

749 ÷ 7 = 107

Now we repeat this action until the result equals 1:

107 ÷ 107 = 1

Now we have all the Prime Factors for number 749. It is: 7, 107

Prime Factor Tree of 749

We may also express the prime factorization of 749 as a Factor Tree:

Prime factors of 749 factorization tree of 749

Related Calculations

Prime Factorization Table

NumberPrime Factors
7342, 367
3 × 5 × 72
25 × 23
73711, 67
2 × 32 × 41
739
74022 × 5 × 37
3, 13, 19
7422, 7, 53
743743
74423 × 3 × 31
5, 149
7462, 373
74732 × 83
22 × 11 × 17
7, 107
2 × 3 × 53
751
24 × 47
7533, 251
2, 13, 29
7555, 151
22 × 33 × 7
757
7582, 379
7593, 11, 23
23 × 5 × 19
761761
7622, 3, 127
7637, 109

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 749? (The answer is: 7, 107). Pick the number for factorization (e.g. '749'). 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 749?

Prime Factors of 749: 7, 107

How many prime factors does 749 have?

Number 749 has 2 Prime Factors