Prime Factorization of 925

"Prime Factorization" Calculator

Prime Factors of

What is the Prime Factorization of 925?

Answer: Prime Factors of 925: 5, 5, 37

or

52 × 37

Explanation of number 925 Prime Factorization

Prime Factorization of 925 it is expressing 925 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 925.

Since number 925 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 925, we have to iteratively divide 925 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 925:

The smallest Prime Number which can divide 925 without a remainder is 5. So the first calculation step would look like:

925 ÷ 5 = 185

Now we repeat this action until the result equals 1:

185 ÷ 5 = 37

37 ÷ 37 = 1

Now we have all the Prime Factors for number 925. It is: 5, 5, 37

Or you may also write it in exponential form: 52 × 37

Prime Factor Tree of 925

We may also express the prime factorization of 925 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 925? (The answer is: 5, 5, 37). Pick the number for factorization (e.g. '925'). 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
9102, 5, 7, 13
911911
91224 × 3 × 19
91311, 83
9142, 457
9153, 5, 61
91622 × 229
9177, 131
9182 × 33 × 17
919919
92023 × 5 × 23
9213, 307
9222, 461
92313, 71
92422 × 3 × 7 × 11
92552 × 37
9262, 463
92732 × 103
92825 × 29
929929
9302, 3, 5, 31
93172 × 19
93222 × 233
9333, 311
9342, 467
9355, 11, 17
93623 × 32 × 13
937937
9382, 7, 67
9393, 313

FAQ

What is the Prime Factorization of 925?

Prime Factors of 925: 5, 5, 37

How many prime factors does 925 have?

Number 925 has 3 Prime Factors

What is the Prime Factorization of 925 in exponential form?

The Prime Factorization of the number 925 in the exponential form is: 52 × 37

See Also