Prime Factorization of 968

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Prime Factors of

What is the Prime Factorization of 968?

Answer: Prime Factors of 968: 2, 2, 2, 11, 11

or

23 × 112

Explanation of number 968 Prime Factorization

Prime Factorization of 968 it is expressing 968 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 968.

Since number 968 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 968, we have to iteratively divide 968 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 968:

The smallest Prime Number which can divide 968 without a remainder is 2. So the first calculation step would look like:

968 ÷ 2 = 484

Now we repeat this action until the result equals 1:

484 ÷ 2 = 242

242 ÷ 2 = 121

121 ÷ 11 = 11

11 ÷ 11 = 1

Now we have all the Prime Factors for number 968. It is: 2, 2, 2, 11, 11

Or you may also write it in exponential form: 23 × 112

Prime Factor Tree of 968

We may also express the prime factorization of 968 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 968? (The answer is: 2, 2, 2, 11, 11). Pick the number for factorization (e.g. '968'). 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
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
967967
96823 × 112
9693, 17, 19
9702, 5, 97
971971
97222 × 35
9737, 139
9742, 487
9753 × 52 × 13
97624 × 61
977977
9782, 3, 163
97911, 89
98022 × 5 × 72
98132 × 109
9822, 491

FAQ

What is the Prime Factorization of 968?

Prime Factors of 968: 2, 2, 2, 11, 11

How many prime factors does 968 have?

Number 968 has 5 Prime Factors

What is the Prime Factorization of 968 in exponential form?

The Prime Factorization of the number 968 in the exponential form is: 23 × 112

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