Prime Factorization of 425

What is the Prime Factorization of 425?

Answer: Prime Factors of 425: 5, 5, 17

or

52 × 17

Explanation of number 425 Prime Factorization

Prime Factorization of 425 it is expressing 425 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 425.

Since number 425 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 425, we have to iteratively divide 425 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 425:

The smallest Prime Number which can divide 425 without a remainder is 5. So the first calculation step would look like:

425 ÷ 5 = 85

Now we repeat this action until the result equals 1:

85 ÷ 5 = 17

17 ÷ 17 = 1

Now we have all the Prime Factors for number 425. It is: 5, 5, 17

Or you may also write it in exponential form: 52 × 17

Prime Factor Tree of 425

We may also express the prime factorization of 425 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 425? (The answer is: 5, 5, 17). Pick the number for factorization (e.g. '425'). 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
2, 5, 41
3, 137
22 × 103
4137, 59
2 × 32 × 23
5, 83
25 × 13
4173, 139
2, 11, 19
419
22 × 3 × 5 × 7
421
2, 211
32 × 47
23 × 53
52 × 17
2, 3, 71
4277, 61
22 × 107
3, 11, 13
2, 5, 43
431
24 × 33
433
2, 7, 31
3, 5, 29
22 × 109
19, 23
2, 3, 73
439

FAQ

What is the Prime Factorization of 425?

Prime Factors of 425: 5, 5, 17

How many prime factors does 425 have?

Number 425 has 3 Prime Factors

What is the Prime Factorization of 425 in exponential form?

The Prime Factorization of the number 425 in the exponential form is: 52 × 17