Prime Factorization of 842

What is the Prime Factorization of 842?

Answer: Prime Factors of 842: 2, 421

Explanation of number 842 Prime Factorization

Prime Factorization of 842 it is expressing 842 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 842.

Since number 842 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 842, we have to iteratively divide 842 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 842:

The smallest Prime Number which can divide 842 without a remainder is 2. So the first calculation step would look like:

842 ÷ 2 = 421

Now we repeat this action until the result equals 1:

421 ÷ 421 = 1

Now we have all the Prime Factors for number 842. It is: 2, 421

Prime Factor Tree of 842

We may also express the prime factorization of 842 as a Factor Tree:

Prime factors of 842 factorization tree of 842

Prime Factorization Table

NumberPrime Factors
827827
22 × 32 × 23
829
8302, 5, 83
8313, 277
26 × 13
83372 × 17
8342, 3, 139
8355, 167
83622 × 11 × 19
83733 × 31
8382, 419
839839
23 × 3 × 5 × 7
292
2, 421
8433, 281
84422 × 211
5 × 132
2 × 32 × 47
7 × 112
84824 × 53
8493, 283
2 × 52 × 17
23, 37
85222 × 3 × 71
853
2, 7, 61
32 × 5 × 19
85623 × 107

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 842? (The answer is: 2, 421). Pick the number for factorization (e.g. '842'). 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 842?

Prime Factors of 842: 2, 421

How many prime factors does 842 have?

Number 842 has 2 Prime Factors