Prime Factorization of 4225

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Prime Factors of

What is the Prime Factorization of 4225?

Answer: Prime Factors of 4225: 5, 5, 13, 13

or

52 × 132

Explanation of number 4225 Prime Factorization

Prime Factorization of 4225 it is expressing 4225 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 4225.

Since number 4225 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 4225, we have to iteratively divide 4225 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 4225:

The smallest Prime Number which can divide 4225 without a remainder is 5. So the first calculation step would look like:

4225 ÷ 5 = 845

Now we repeat this action until the result equals 1:

845 ÷ 5 = 169

169 ÷ 13 = 13

13 ÷ 13 = 1

Now we have all the Prime Factors for number 4225. It is: 5, 5, 13, 13

Or you may also write it in exponential form: 52 × 132

Prime Factor Tree of 4225

We may also express the prime factorization of 4225 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 4225? (The answer is: 5, 5, 13, 13). Pick the number for factorization (e.g. '4225'). 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
42102, 5, 421
42114211
421222 × 34 × 13
421311, 383
42142 × 72 × 43
42153, 5, 281
421623 × 17 × 31
42174217
42182, 3, 19, 37
42194219
422022 × 5 × 211
422132 × 7 × 67
42222, 2111
422341, 103
422427 × 3 × 11
422552 × 132
42262, 2113
42273, 1409
422822 × 7 × 151
42294229
42302 × 32 × 5 × 47
42314231
423223 × 232
42333, 17, 83
42342, 29, 73
42355 × 7 × 112
423622 × 3 × 353
423719, 223
42382, 13, 163
423933 × 157

FAQ

What is the Prime Factorization of 4225?

Prime Factors of 4225: 5, 5, 13, 13

How many prime factors does 4225 have?

Number 4225 has 4 Prime Factors

What is the Prime Factorization of 4225 in exponential form?

The Prime Factorization of the number 4225 in the exponential form is: 52 × 132

See Also