Prime Factorization of 961

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Prime Factors of

What is the Prime Factorization of 961?

Answer: Prime Factors of 961: 31, 31

or

312

Explanation of number 961 Prime Factorization

Prime Factorization of 961 it is expressing 961 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 961.

Since number 961 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 961, we have to iteratively divide 961 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 961:

The smallest Prime Number which can divide 961 without a remainder is 31. So the first calculation step would look like:

961 ÷ 31 = 31

Now we repeat this action until the result equals 1:

31 ÷ 31 = 1

Now we have all the Prime Factors for number 961. It is: 31, 31

Or you may also write it in exponential form: 312

Prime Factor Tree of 961

We may also express the prime factorization of 961 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 961? (The answer is: 31, 31). Pick the number for factorization (e.g. '961'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

"Prime Factorization" Calculator

Prime Factors of

Prime Factorization Table

NumberPrime Factors
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
967967
96823 × 112
9693, 17, 19
9702, 5, 97
971971
97222 × 35
9737, 139
9742, 487
9753 × 52 × 13

FAQ

What is the Prime Factorization of 961?

Prime Factors of 961: 31, 31

How many prime factors does 961 have?

Number 961 has 2 Prime Factors

What is the Prime Factorization of 961 in exponential form?

The Prime Factorization of the number 961 in the exponential form is: 312

See Also