Prime Factorization of 1625

What is the Prime Factorization of 1625?

Answer: Prime Factors of 1625: 5, 5, 5, 13

or

53 × 13

Explanation of number 1625 Prime Factorization

Prime Factorization of 1625 it is expressing 1625 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1625.

Since number 1625 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1625, we have to iteratively divide 1625 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1625:

The smallest Prime Number which can divide 1625 without a remainder is 5. So the first calculation step would look like:

1625 ÷ 5 = 325

Now we repeat this action until the result equals 1:

325 ÷ 5 = 65

65 ÷ 5 = 13

13 ÷ 13 = 1

Now we have all the Prime Factors for number 1625. It is: 5, 5, 5, 13

Or you may also write it in exponential form: 53 × 13

Related Calculations

Prime Factorization Table

NumberPrime Factors
16102, 5, 7, 23
161132 × 179
161222 × 13 × 31
16131613
16142, 3, 269
16155, 17, 19
161624 × 101
16173 × 72 × 11
16182, 809
16191619
22 × 34 × 5
16211621
16222, 811
16233, 541
162423 × 7 × 29
162553 × 13
16262, 3, 271
16271627
162822 × 11 × 37
162932 × 181
16302, 5, 163
16317, 233
163225 × 3 × 17
163323, 71
16342, 19, 43
16353, 5, 109
163622 × 409
16371637
16382 × 32 × 7 × 13
163911, 149

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 1625? (The answer is: 5, 5, 5, 13). Pick the number for factorization (e.g. '1625'). 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 1625?

Prime Factors of 1625: 5, 5, 5, 13

How many prime factors does 1625 have?

Number 1625 has 4 Prime Factors

What is the Prime Factorization of 1625 in exponential form?

The Prime Factorization of the number 1625 in the exponential form is: 53 × 13