Prime Factorization of 675

What is the Prime Factorization of 675?

Answer: Prime Factors of 675: 3, 3, 3, 5, 5

or

33 × 52

Explanation of number 675 Prime Factorization

Prime Factorization of 675 it is expressing 675 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 675.

Since number 675 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 675, we have to iteratively divide 675 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 675:

The smallest Prime Number which can divide 675 without a remainder is 3. So the first calculation step would look like:

675 ÷ 3 = 225

Now we repeat this action until the result equals 1:

225 ÷ 3 = 75

75 ÷ 3 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 675. It is: 3, 3, 3, 5, 5

Or you may also write it in exponential form: 33 × 52

Prime Factor Tree of 675

We may also express the prime factorization of 675 as a Factor Tree:

Prime factors of 675 factorization tree of 675

Prime Factorization Table

NumberPrime Factors
22 × 3 × 5 × 11
661
6622, 331
6633, 13, 17
66423 × 83
5, 7, 19
2 × 32 × 37
23, 29
66822 × 167
6693, 223
2, 5, 67
67111, 61
25 × 3 × 7
673
2, 337
33 × 52
22 × 132
677
2, 3, 113
6797, 97
23 × 5 × 17
3, 227
6822, 11, 31
683
22 × 32 × 19
6855, 137
2 × 73
6873, 229
24 × 43
13, 53

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 675? (The answer is: 3, 3, 3, 5, 5). Pick the number for factorization (e.g. '675'). 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 675?

Prime Factors of 675: 3, 3, 3, 5, 5

How many prime factors does 675 have?

Number 675 has 5 Prime Factors

What is the Prime Factorization of 675 in exponential form?

The Prime Factorization of the number 675 in the exponential form is: 33 × 52