Prime Factorization of 835

What is the Prime Factorization of 835?

Answer: Prime Factors of 835: 5, 167

Explanation of number 835 Prime Factorization

Prime Factorization of 835 it is expressing 835 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 835.

Since number 835 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 835, we have to iteratively divide 835 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 835:

The smallest Prime Number which can divide 835 without a remainder is 5. So the first calculation step would look like:

835 ÷ 5 = 167

Now we repeat this action until the result equals 1:

167 ÷ 167 = 1

Now we have all the Prime Factors for number 835. It is: 5, 167

Prime Factor Tree of 835

We may also express the prime factorization of 835 as a Factor Tree:

Prime factors of 835 factorization tree of 835

Related Calculations

Prime Factorization Table

NumberPrime Factors
22 × 5 × 41
821
8222, 3, 137
823
23 × 103
3 × 52 × 11
8262, 7, 59
827827
82822 × 32 × 23
829
8302, 5, 83
8313, 277
83226 × 13
83372 × 17
8342, 3, 139
5, 167
83622 × 11 × 19
83733 × 31
8382, 419
839839
23 × 3 × 5 × 7
292
8422, 421
8433, 281
84422 × 211
5 × 132
2 × 32 × 47
7 × 112
84824 × 53
8493, 283

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 835? (The answer is: 5, 167). Pick the number for factorization (e.g. '835'). 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 835?

Prime Factors of 835: 5, 167

How many prime factors does 835 have?

Number 835 has 2 Prime Factors