Prime Factorization of 957

What is the Prime Factorization of 957?

Answer: Prime Factors of 957: 3, 11, 29

Explanation of number 957 Prime Factorization

Prime Factorization of 957 it is expressing 957 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 957.

Since number 957 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 957, we have to iteratively divide 957 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 957:

The smallest Prime Number which can divide 957 without a remainder is 3. So the first calculation step would look like:

957 ÷ 3 = 319

Now we repeat this action until the result equals 1:

319 ÷ 11 = 29

29 ÷ 29 = 1

Now we have all the Prime Factors for number 957. It is: 3, 11, 29

Prime Factor Tree of 957

We may also express the prime factorization of 957 as a Factor Tree:

Prime factors of 957 factorization tree of 957

Prime Factorization Table

NumberPrime Factors
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
22 × 241
9655, 193
2, 3, 7, 23
967
23 × 112
3, 17, 19
9702, 5, 97
971971

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 957? (The answer is: 3, 11, 29). Pick the number for factorization (e.g. '957'). 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 957?

Prime Factors of 957: 3, 11, 29

How many prime factors does 957 have?

Number 957 has 3 Prime Factors