Prime Factorization of 625

"Prime Factorization" Calculator

Prime Factors of

What is the Prime Factorization of 625?

Answer: Prime Factors of 625: 5, 5, 5, 5

or

54

Explanation of number 625 Prime Factorization

Prime Factorization of 625 it is expressing 625 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 625.

Since number 625 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 625, we have to iteratively divide 625 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 625:

The smallest Prime Number which can divide 625 without a remainder is 5. So the first calculation step would look like:

625 ÷ 5 = 125

Now we repeat this action until the result equals 1:

125 ÷ 5 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 625. It is: 5, 5, 5, 5

Or you may also write it in exponential form: 54

Prime Factor Tree of 625

We may also express the prime factorization of 625 as a Factor Tree:

Related Calculations

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 625? (The answer is: 5, 5, 5, 5). Pick the number for factorization (e.g. '625'). 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
6102, 5, 61
61113, 47
61222 × 32 × 17
613613
6142, 307
6153, 5, 41
61623 × 7 × 11
617617
6182, 3, 103
619619
62022 × 5 × 31
62133 × 23
6222, 311
6237, 89
62424 × 3 × 13
62554
6262, 313
6273, 11, 19
62822 × 157
62917, 37
6302 × 32 × 5 × 7
631631
63223 × 79
6333, 211
6342, 317
6355, 127
63622 × 3 × 53
63772 × 13
6382, 11, 29
63932 × 71

FAQ

What is the Prime Factorization of 625?

Prime Factors of 625: 5, 5, 5, 5

How many prime factors does 625 have?

Number 625 has 4 Prime Factors

What is the Prime Factorization of 625 in exponential form?

The Prime Factorization of the number 625 in the exponential form is: 54

See Also