Prime Factorization of 745

What is the Prime Factorization of 745?

Answer: Prime Factors of 745: 5, 149

Explanation of number 745 Prime Factorization

Prime Factorization of 745 it is expressing 745 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 745.

Since number 745 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 745, we have to iteratively divide 745 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 745:

The smallest Prime Number which can divide 745 without a remainder is 5. So the first calculation step would look like:

745 ÷ 5 = 149

Now we repeat this action until the result equals 1:

149 ÷ 149 = 1

Now we have all the Prime Factors for number 745. It is: 5, 149

Prime Factor Tree of 745

We may also express the prime factorization of 745 as a Factor Tree:

Prime factors of 745 factorization tree of 745

See Also

Prime Factorization Table

NumberPrime Factors
2, 5, 73
73117, 43
73222 × 3 × 61
733733
2, 367
3 × 5 × 72
25 × 23
73711, 67
2 × 32 × 41
739
74022 × 5 × 37
3, 13, 19
7422, 7, 53
743743
23 × 3 × 31
5, 149
2, 373
74732 × 83
22 × 11 × 17
7, 107
2 × 3 × 53
751751
75224 × 47
7533, 251
7542, 13, 29
7555, 151
22 × 33 × 7
757
7582, 379
3, 11, 23

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 745? (The answer is: 5, 149). Pick the number for factorization (e.g. '745'). 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 745?

Prime Factors of 745: 5, 149

How many prime factors does 745 have?

Number 745 has 2 Prime Factors