Prime Factorization of 7225

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Prime Factors of

What is the Prime Factorization of 7225?

Answer: Prime Factors of 7225: 5, 5, 17, 17

or

52 × 172

Explanation of number 7225 Prime Factorization

Prime Factorization of 7225 it is expressing 7225 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 7225.

Since number 7225 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 7225, we have to iteratively divide 7225 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 7225:

The smallest Prime Number which can divide 7225 without a remainder is 5. So the first calculation step would look like:

7225 ÷ 5 = 1445

Now we repeat this action until the result equals 1:

1445 ÷ 5 = 289

289 ÷ 17 = 17

17 ÷ 17 = 1

Now we have all the Prime Factors for number 7225. It is: 5, 5, 17, 17

Or you may also write it in exponential form: 52 × 172

Prime Factor Tree of 7225

We may also express the prime factorization of 7225 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 7225? (The answer is: 5, 5, 17, 17). Pick the number for factorization (e.g. '7225'). 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
72102, 5, 7, 103
72117211
721222 × 3 × 601
72137213
72142, 3607
72153, 5, 13, 37
721624 × 11 × 41
72177, 1031
72182 × 32 × 401
72197219
722022 × 5 × 192
72213, 29, 83
72222, 23, 157
722331, 233
722423 × 3 × 7 × 43
722552 × 172
72262, 3613
722732 × 11 × 73
722822 × 13 × 139
72297229
72302, 3, 5, 241
72317, 1033
723226 × 113
72333, 2411
72342, 3617
72355, 1447
723622 × 33 × 67
72377237
72382, 7, 11, 47
72393, 19, 127

FAQ

What is the Prime Factorization of 7225?

Prime Factors of 7225: 5, 5, 17, 17

How many prime factors does 7225 have?

Number 7225 has 4 Prime Factors

What is the Prime Factorization of 7225 in exponential form?

The Prime Factorization of the number 7225 in the exponential form is: 52 × 172

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