Prime Factorization of 9825

What is the Prime Factorization of 9825?

Answer: Prime Factors of 9825: 3, 5, 5, 131

or

3 × 52 × 131

Explanation of number 9825 Prime Factorization

Prime Factorization of 9825 it is expressing 9825 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 9825.

Since number 9825 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 9825, we have to iteratively divide 9825 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 9825:

The smallest Prime Number which can divide 9825 without a remainder is 3. So the first calculation step would look like:

9825 ÷ 3 = 3275

Now we repeat this action until the result equals 1:

3275 ÷ 5 = 655

655 ÷ 5 = 131

131 ÷ 131 = 1

Now we have all the Prime Factors for number 9825. It is: 3, 5, 5, 131

Or you may also write it in exponential form: 3 × 52 × 131

Prime Factorization Table

NumberPrime Factors
98102 × 32 × 5 × 109
98119811
981222 × 11 × 223
98133, 3271
98142, 7, 701
98155, 13, 151
981623 × 3 × 409
98179817
98182, 4909
981932 × 1091
982022 × 5 × 491
98217, 23, 61
98222, 3, 1637
982311, 19, 47
982425 × 307
98253 × 52 × 131
98262 × 173
982731, 317
982822 × 33 × 7 × 13
98299829
98302, 5, 983
98313, 29, 113
983223 × 1229
98339833
98342, 3, 11, 149
98355, 7, 281
983622 × 2459
983732 × 1093
98382, 4919
98399839

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 9825? (The answer is: 3, 5, 5, 131). Pick the number for factorization (e.g. '9825'). 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 9825?

Prime Factors of 9825: 3, 5, 5, 131

How many prime factors does 9825 have?

Number 9825 has 4 Prime Factors

What is the Prime Factorization of 9825 in exponential form?

The Prime Factorization of the number 9825 in the exponential form is: 3 × 52 × 131