Prime Factorization of 2925

What is the Prime Factorization of 2925?

Answer: Prime Factors of 2925: 3, 3, 5, 5, 13

or

32 × 52 × 13

Explanation of number 2925 Prime Factorization

Prime Factorization of 2925 it is expressing 2925 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 2925.

Since number 2925 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 2925, we have to iteratively divide 2925 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 2925:

The smallest Prime Number which can divide 2925 without a remainder is 3. So the first calculation step would look like:

2925 ÷ 3 = 975

Now we repeat this action until the result equals 1:

975 ÷ 3 = 325

325 ÷ 5 = 65

65 ÷ 5 = 13

13 ÷ 13 = 1

Now we have all the Prime Factors for number 2925. It is: 3, 3, 5, 5, 13

Or you may also write it in exponential form: 32 × 52 × 13

Prime Factor Tree of 2925

We may also express the prime factorization of 2925 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 2925? (The answer is: 3, 3, 5, 5, 13). Pick the number for factorization (e.g. '2925'). 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
29102, 3, 5, 97
291141, 71
291225 × 7 × 13
29133, 971
29142, 31, 47
29155, 11, 53
291622 × 36
29172917
29182, 1459
29193, 7, 139
292023 × 5 × 73
292123, 127
29222, 3, 487
292337, 79
292422 × 17 × 43
32 × 52 × 13
29262, 7, 11, 19
29272927
292824 × 3 × 61
292929, 101
29302, 5, 293
29313, 977
293222 × 733
29337, 419
29342 × 32 × 163
29355, 587
293623 × 367
29373, 11, 89
29382, 13, 113
29392939

FAQ

What is the Prime Factorization of 2925?

Prime Factors of 2925: 3, 3, 5, 5, 13

How many prime factors does 2925 have?

Number 2925 has 5 Prime Factors

What is the Prime Factorization of 2925 in exponential form?

The Prime Factorization of the number 2925 in the exponential form is: 32 × 52 × 13