Prime Factorization of 8225

What is the Prime Factorization of 8225?

Answer: Prime Factors of 8225: 5, 5, 7, 47

or

52 × 7 × 47

Explanation of number 8225 Prime Factorization

Prime Factorization of 8225 it is expressing 8225 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 8225.

Since number 8225 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 8225, we have to iteratively divide 8225 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 8225:

The smallest Prime Number which can divide 8225 without a remainder is 5. So the first calculation step would look like:

8225 ÷ 5 = 1645

Now we repeat this action until the result equals 1:

1645 ÷ 5 = 329

329 ÷ 7 = 47

47 ÷ 47 = 1

Now we have all the Prime Factors for number 8225. It is: 5, 5, 7, 47

Or you may also write it in exponential form: 52 × 7 × 47

Prime Factorization Table

NumberPrime Factors
82102, 5, 821
82113, 7, 17, 23
821222 × 2053
821343, 191
82142 × 3 × 372
82155, 31, 53
821623 × 13 × 79
821732 × 11 × 83
82182, 7, 587
82198219
822022 × 3 × 5 × 137
82218221
82222, 4111
82233, 2741
822425 × 257
822552 × 7 × 47
82262 × 32 × 457
822719, 433
822822 × 112 × 17
82293, 13, 211
82302, 5, 823
82318231
823223 × 3 × 73
82338233
82342, 23, 179
823533 × 5 × 61
823622 × 29 × 71
82378237
82382, 3, 1373
82397, 11, 107

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 8225? (The answer is: 5, 5, 7, 47). Pick the number for factorization (e.g. '8225'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

FAQ

What is the Prime Factorization of 8225?

Prime Factors of 8225: 5, 5, 7, 47

How many prime factors does 8225 have?

Number 8225 has 4 Prime Factors

What is the Prime Factorization of 8225 in exponential form?

The Prime Factorization of the number 8225 in the exponential form is: 52 × 7 × 47