Prime Factorization of 4325

What is the Prime Factorization of 4325?

Answer: Prime Factors of 4325: 5, 5, 173

or

52 × 173

Explanation of number 4325 Prime Factorization

Prime Factorization of 4325 it is expressing 4325 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 4325.

Since number 4325 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 4325, we have to iteratively divide 4325 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 4325:

The smallest Prime Number which can divide 4325 without a remainder is 5. So the first calculation step would look like:

4325 ÷ 5 = 865

Now we repeat this action until the result equals 1:

865 ÷ 5 = 173

173 ÷ 173 = 1

Now we have all the Prime Factors for number 4325. It is: 5, 5, 173

Or you may also write it in exponential form: 52 × 173

Prime Factor Tree of 4325

We may also express the prime factorization of 4325 as a Factor Tree:

Related Calculations

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 4325? (The answer is: 5, 5, 173). Pick the number for factorization (e.g. '4325'). 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
43102, 5, 431
431132 × 479
431223 × 72 × 11
431319, 227
43142, 3, 719
43155, 863
431622 × 13 × 83
43173, 1439
43182, 17, 127
43197, 617
25 × 33 × 5
432129, 149
43222, 2161
43233, 11, 131
432422 × 23 × 47
52 × 173
43262, 3, 7, 103
43274327
432823 × 541
432932 × 13 × 37
43302, 5, 433
433161, 71
433222 × 3 × 192
43337, 619
43342, 11, 197
43353 × 5 × 172
433624 × 271
43374337
43382 × 32 × 241
43394339

FAQ

What is the Prime Factorization of 4325?

Prime Factors of 4325: 5, 5, 173

How many prime factors does 4325 have?

Number 4325 has 3 Prime Factors

What is the Prime Factorization of 4325 in exponential form?

The Prime Factorization of the number 4325 in the exponential form is: 52 × 173