Prime Factorization of 963

What is the Prime Factorization of 963?

Answer: Prime Factors of 963: 3, 3, 107

or

32 × 107

Explanation of number 963 Prime Factorization

Prime Factorization of 963 it is expressing 963 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 963.

Since number 963 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 963, we have to iteratively divide 963 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 963:

The smallest Prime Number which can divide 963 without a remainder is 3. So the first calculation step would look like:

963 ÷ 3 = 321

Now we repeat this action until the result equals 1:

321 ÷ 3 = 107

107 ÷ 107 = 1

Now we have all the Prime Factors for number 963. It is: 3, 3, 107

Or you may also write it in exponential form: 32 × 107

Prime Factor Tree of 963

We may also express the prime factorization of 963 as a Factor Tree:

See Also

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 963? (The answer is: 3, 3, 107). Pick the number for factorization (e.g. '963'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

Prime Factorization Table

NumberPrime Factors
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
22 × 35
9737, 139
9742, 487
3 × 52 × 13
24 × 61
977

FAQ

What is the Prime Factorization of 963?

Prime Factors of 963: 3, 3, 107

How many prime factors does 963 have?

Number 963 has 3 Prime Factors

What is the Prime Factorization of 963 in exponential form?

The Prime Factorization of the number 963 in the exponential form is: 32 × 107