Prime Factorization of 9025

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Prime Factors of

What is the Prime Factorization of 9025?

Answer: Prime Factors of 9025: 5, 5, 19, 19

or

52 × 192

Explanation of number 9025 Prime Factorization

Prime Factorization of 9025 it is expressing 9025 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 9025.

Since number 9025 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 9025, we have to iteratively divide 9025 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 9025:

The smallest Prime Number which can divide 9025 without a remainder is 5. So the first calculation step would look like:

9025 ÷ 5 = 1805

Now we repeat this action until the result equals 1:

1805 ÷ 5 = 361

361 ÷ 19 = 19

19 ÷ 19 = 1

Now we have all the Prime Factors for number 9025. It is: 5, 5, 19, 19

Or you may also write it in exponential form: 52 × 192

Prime Factor Tree of 9025

We may also express the prime factorization of 9025 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 9025? (The answer is: 5, 5, 19, 19). Pick the number for factorization (e.g. '9025'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

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Prime Factors of

Prime Factorization Table

NumberPrime Factors
90102, 5, 17, 53
90119011
901222 × 3 × 751
90139013
90142, 4507
90153, 5, 601
901623 × 72 × 23
901771, 127
90182 × 33 × 167
901929, 311
902022 × 5 × 11 × 41
90213, 31, 97
90222, 13, 347
90237, 1289
902426 × 3 × 47
902552 × 192
90262, 4513
902732 × 17 × 59
902822 × 37 × 61
90299029
90302, 3, 5, 7, 43
903111, 821
903223 × 1129
90333, 3011
90342, 4517
90355, 13, 139
903622 × 32 × 251
90377, 1291
90382, 4519
90393, 23, 131

FAQ

What is the Prime Factorization of 9025?

Prime Factors of 9025: 5, 5, 19, 19

How many prime factors does 9025 have?

Number 9025 has 4 Prime Factors

What is the Prime Factorization of 9025 in exponential form?

The Prime Factorization of the number 9025 in the exponential form is: 52 × 192

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