Prime Factorization of 25

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Prime Factors of

What is the Prime Factorization of 25?

Answer: Prime Factors of 25: 5, 5

or

52

Explanation of number 25 Prime Factorization

Prime Factorization of 25 it is expressing 25 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 25.

Since number 25 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 25, we have to iteratively divide 25 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 25:

The smallest Prime Number which can divide 25 without a remainder is 5. So the first calculation step would look like:

25 ÷ 5 = 5

Now we repeat this action until the result equals 1:

5 ÷ 5 = 1

Now we have all the Prime Factors for number 25. It is: 5, 5

Or you may also write it in exponential form: 52

Prime Factor Tree of 25

We may also express the prime factorization of 25 as a Factor Tree:

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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 25? (The answer is: 5, 5). Pick the number for factorization (e.g. '25'). 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
102, 5
1111
1222 × 3
1313
142, 7
153, 5
1624
1717
182 × 32
1919
2022 × 5
213, 7
222, 11
2323
2423 × 3
2552
262, 13
2733
2822 × 7
2929
302, 3, 5
3131
3225
333, 11
342, 17
355, 7
3622 × 32
3737
382, 19
393, 13

FAQ

What is the Prime Factorization of 25?

Prime Factors of 25: 5, 5

How many prime factors does 25 have?

Number 25 has 2 Prime Factors

What is the Prime Factorization of 25 in exponential form?

The Prime Factorization of the number 25 in the exponential form is: 52

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