Prime Factorization of 2425

What is the Prime Factorization of 2425?

Answer: Prime Factors of 2425: 5, 5, 97

or

52 × 97

Explanation of number 2425 Prime Factorization

Prime Factorization of 2425 it is expressing 2425 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 2425.

Since number 2425 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 2425, we have to iteratively divide 2425 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 2425:

The smallest Prime Number which can divide 2425 without a remainder is 5. So the first calculation step would look like:

2425 ÷ 5 = 485

Now we repeat this action until the result equals 1:

485 ÷ 5 = 97

97 ÷ 97 = 1

Now we have all the Prime Factors for number 2425. It is: 5, 5, 97

Or you may also write it in exponential form: 52 × 97

Prime Factor Tree of 2425

We may also express the prime factorization of 2425 as a Factor Tree:

Prime factors of 2425 factorization tree of 2425

Prime Factorization Table

NumberPrime Factors
24102, 5, 241
24112411
241222 × 32 × 67
241319, 127
24142, 17, 71
24153, 5, 7, 23
241624 × 151
24172417
24182, 3, 13, 31
241941, 59
22 × 5 × 112
242132 × 269
24222, 7, 173
24232423
242423 × 3 × 101
52 × 97
24262, 1213
24273, 809
242822 × 607
24297, 347
24302 × 35 × 5
243111, 13, 17
243227 × 19
24333, 811
24342, 1217
24355, 487
243622 × 3 × 7 × 29
24372437
24382, 23, 53
243932 × 271

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 2425? (The answer is: 5, 5, 97). Pick the number for factorization (e.g. '2425'). 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 2425?

Prime Factors of 2425: 5, 5, 97

How many prime factors does 2425 have?

Number 2425 has 3 Prime Factors

What is the Prime Factorization of 2425 in exponential form?

The Prime Factorization of the number 2425 in the exponential form is: 52 × 97