Prime Factorization of 2725

What is the Prime Factorization of 2725?

Answer: Prime Factors of 2725: 5, 5, 109

or

52 × 109

Explanation of number 2725 Prime Factorization

Prime Factorization of 2725 it is expressing 2725 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 2725.

Since number 2725 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 2725, we have to iteratively divide 2725 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 2725:

The smallest Prime Number which can divide 2725 without a remainder is 5. So the first calculation step would look like:

2725 ÷ 5 = 545

Now we repeat this action until the result equals 1:

545 ÷ 5 = 109

109 ÷ 109 = 1

Now we have all the Prime Factors for number 2725. It is: 5, 5, 109

Or you may also write it in exponential form: 52 × 109

Prime Factor Tree of 2725

We may also express the prime factorization of 2725 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 2725? (The answer is: 5, 5, 109). Pick the number for factorization (e.g. '2725'). 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
27102, 5, 271
27112711
271223 × 3 × 113
27132713
27142, 23, 59
27153, 5, 181
271622 × 7 × 97
271711, 13, 19
27182 × 32 × 151
27192719
272025 × 5 × 17
27213, 907
27222, 1361
27237, 389
272422 × 3 × 227
52 × 109
27262, 29, 47
272733 × 101
272823 × 11 × 31
27292729
2, 3, 5, 7, 13
27312731
273222 × 683
27333, 911
27342, 1367
27355, 547
273624 × 32 × 19
27377, 17, 23
27382 × 372
27393, 11, 83

FAQ

What is the Prime Factorization of 2725?

Prime Factors of 2725: 5, 5, 109

How many prime factors does 2725 have?

Number 2725 has 3 Prime Factors

What is the Prime Factorization of 2725 in exponential form?

The Prime Factorization of the number 2725 in the exponential form is: 52 × 109