Prime Factorization of 952

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Prime Factors of

What is the Prime Factorization of 952?

Answer: Prime Factors of 952: 2, 2, 2, 7, 17

or

23 × 7 × 17

Explanation of number 952 Prime Factorization

Prime Factorization of 952 it is expressing 952 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 952.

Since number 952 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 952, we have to iteratively divide 952 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 952:

The smallest Prime Number which can divide 952 without a remainder is 2. So the first calculation step would look like:

952 ÷ 2 = 476

Now we repeat this action until the result equals 1:

476 ÷ 2 = 238

238 ÷ 2 = 119

119 ÷ 7 = 17

17 ÷ 17 = 1

Now we have all the Prime Factors for number 952. It is: 2, 2, 2, 7, 17

Or you may also write it in exponential form: 23 × 7 × 17

Prime Factor Tree of 952

We may also express the prime factorization of 952 as a Factor Tree:

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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 952? (The answer is: 2, 2, 2, 7, 17). Pick the number for factorization (e.g. '952'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

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Prime Factors of

Prime Factorization Table

NumberPrime Factors
937937
9382, 7, 67
9393, 313
94022 × 5 × 47
941941
9422, 3, 157
94323, 41
94424 × 59
94533 × 5 × 7
9462, 11, 43
947947
94822 × 3 × 79
94913, 73
9502 × 52 × 19
9513, 317
95223 × 7 × 17
953953
9542 × 32 × 53
9555, 191
95622 × 239
9573, 11, 29
9582, 479
9597, 137
96026 × 3 × 5
961312
9622, 13, 37
96332 × 107
96422 × 241
9655, 193
9662, 3, 7, 23

FAQ

What is the Prime Factorization of 952?

Prime Factors of 952: 2, 2, 2, 7, 17

How many prime factors does 952 have?

Number 952 has 5 Prime Factors

What is the Prime Factorization of 952 in exponential form?

The Prime Factorization of the number 952 in the exponential form is: 23 × 7 × 17

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