Prime Factorization of 875

What is the Prime Factorization of 875?

Answer: Prime Factors of 875: 5, 5, 5, 7

or

53 × 7

Explanation of number 875 Prime Factorization

Prime Factorization of 875 it is expressing 875 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 875.

Since number 875 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 875, we have to iteratively divide 875 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 875:

The smallest Prime Number which can divide 875 without a remainder is 5. So the first calculation step would look like:

875 ÷ 5 = 175

Now we repeat this action until the result equals 1:

175 ÷ 5 = 35

35 ÷ 5 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 875. It is: 5, 5, 5, 7

Or you may also write it in exponential form: 53 × 7

Prime Factor Tree of 875

We may also express the prime factorization of 875 as a Factor Tree:

Prime factors of 875 factorization tree of 875

Prime Factorization Table

NumberPrime Factors
22 × 5 × 43
8613, 7, 41
8622, 431
863
25 × 33
5, 173
8662, 433
3 × 172
86822 × 7 × 31
11, 79
2, 3, 5, 29
87113, 67
87223 × 109
87332 × 97
8742, 19, 23
53 × 7
87622 × 3 × 73
877
8782, 439
3, 293
24 × 5 × 11
881
2 × 32 × 72
883883
22 × 13 × 17
8853, 5, 59
8862, 443
887
23 × 3 × 37
8897, 127

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 875? (The answer is: 5, 5, 5, 7). Pick the number for factorization (e.g. '875'). 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 875?

Prime Factors of 875: 5, 5, 5, 7

How many prime factors does 875 have?

Number 875 has 4 Prime Factors

What is the Prime Factorization of 875 in exponential form?

The Prime Factorization of the number 875 in the exponential form is: 53 × 7