Prime Factorization of 870

What is the Prime Factorization of 870?

Answer: Prime Factors of 870: 2, 3, 5, 29

Explanation of number 870 Prime Factorization

Prime Factorization of 870 it is expressing 870 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 870.

Since number 870 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 870, we have to iteratively divide 870 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 870:

The smallest Prime Number which can divide 870 without a remainder is 2. So the first calculation step would look like:

870 ÷ 2 = 435

Now we repeat this action until the result equals 1:

435 ÷ 3 = 145

145 ÷ 5 = 29

29 ÷ 29 = 1

Now we have all the Prime Factors for number 870. It is: 2, 3, 5, 29

Prime Factor Tree of 870

We may also express the prime factorization of 870 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 870? (The answer is: 2, 3, 5, 29). Pick the number for factorization (e.g. '870'). 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
32 × 5 × 19
85623 × 107
857
2, 3, 11, 13
859
86022 × 5 × 43
8613, 7, 41
8622, 431
863
25 × 33
8655, 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
8793, 293
24 × 5 × 11
881
2 × 32 × 72
883883
88422 × 13 × 17

FAQ

What is the Prime Factorization of 870?

Prime Factors of 870: 2, 3, 5, 29

How many prime factors does 870 have?

Number 870 has 4 Prime Factors