Prime Factorization of 949

What is the Prime Factorization of 949?

Answer: Prime Factors of 949: 13, 73

Explanation of number 949 Prime Factorization

Prime Factorization of 949 it is expressing 949 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 949.

Since number 949 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 949, we have to iteratively divide 949 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 949:

The smallest Prime Number which can divide 949 without a remainder is 13. So the first calculation step would look like:

949 ÷ 13 = 73

Now we repeat this action until the result equals 1:

73 ÷ 73 = 1

Now we have all the Prime Factors for number 949. It is: 13, 73

Prime Factor Tree of 949

We may also express the prime factorization of 949 as a Factor Tree:

Prime factors of 949 factorization tree of 949

Prime Factorization Table

NumberPrime Factors
9342, 467
5, 11, 17
23 × 32 × 13
937
9382, 7, 67
3, 313
22 × 5 × 47
941
9422, 3, 157
23, 41
24 × 59
33 × 5 × 7
2, 11, 43
947
94822 × 3 × 79
13, 73
2 × 52 × 19
9513, 317
95223 × 7 × 17
953953
2 × 32 × 53
9555, 191
95622 × 239
3, 11, 29
9582, 479
9597, 137
26 × 3 × 5
312
9622, 13, 37
32 × 107

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 949? (The answer is: 13, 73). Pick the number for factorization (e.g. '949'). 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 949?

Prime Factors of 949: 13, 73

How many prime factors does 949 have?

Number 949 has 2 Prime Factors