Prime Factorization of 3625

"Prime Factorization" Calculator

Prime Factors of

What is the Prime Factorization of 3625?

Answer: Prime Factors of 3625: 5, 5, 5, 29

or

53 × 29

Explanation of number 3625 Prime Factorization

Prime Factorization of 3625 it is expressing 3625 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 3625.

Since number 3625 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 3625, we have to iteratively divide 3625 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 3625:

The smallest Prime Number which can divide 3625 without a remainder is 5. So the first calculation step would look like:

3625 ÷ 5 = 725

Now we repeat this action until the result equals 1:

725 ÷ 5 = 145

145 ÷ 5 = 29

29 ÷ 29 = 1

Now we have all the Prime Factors for number 3625. It is: 5, 5, 5, 29

Or you may also write it in exponential form: 53 × 29

Prime Factor Tree of 3625

We may also express the prime factorization of 3625 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 3625? (The answer is: 5, 5, 5, 29). Pick the number for factorization (e.g. '3625'). 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
36102 × 5 × 192
361123, 157
361222 × 3 × 7 × 43
36133613
36142, 13, 139
36153, 5, 241
361625 × 113
36173617
36182 × 33 × 67
36197, 11, 47
362022 × 5 × 181
36213, 17, 71
36222, 1811
36233623
362423 × 3 × 151
362553 × 29
36262 × 72 × 37
362732 × 13 × 31
362822 × 907
362919, 191
36302 × 3 × 5 × 112
36313631
363224 × 227
36333, 7, 173
36342, 23, 79
36355, 727
363622 × 32 × 101
36373637
36382, 17, 107
36393, 1213

FAQ

What is the Prime Factorization of 3625?

Prime Factors of 3625: 5, 5, 5, 29

How many prime factors does 3625 have?

Number 3625 has 4 Prime Factors

What is the Prime Factorization of 3625 in exponential form?

The Prime Factorization of the number 3625 in the exponential form is: 53 × 29

See Also