Prime Factorization of 426

What is the Prime Factorization of 426?

Answer: Prime Factors of 426: 2, 3, 71

Explanation of number 426 Prime Factorization

Prime Factorization of 426 it is expressing 426 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 426.

Since number 426 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 426, we have to iteratively divide 426 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 426:

The smallest Prime Number which can divide 426 without a remainder is 2. So the first calculation step would look like:

426 ÷ 2 = 213

Now we repeat this action until the result equals 1:

213 ÷ 3 = 71

71 ÷ 71 = 1

Now we have all the Prime Factors for number 426. It is: 2, 3, 71

Prime Factor Tree of 426

We may also express the prime factorization of 426 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 426? (The answer is: 2, 3, 71). Pick the number for factorization (e.g. '426'). 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
3, 137
22 × 103
4137, 59
2 × 32 × 23
5, 83
25 × 13
4173, 139
2, 11, 19
419
22 × 3 × 5 × 7
421
2, 211
32 × 47
23 × 53
52 × 17
2, 3, 71
4277, 61
22 × 107
3, 11, 13
2, 5, 43
431
24 × 33
433
2, 7, 31
3, 5, 29
22 × 109
19, 23
2, 3, 73
439
23 × 5 × 11

FAQ

What is the Prime Factorization of 426?

Prime Factors of 426: 2, 3, 71

How many prime factors does 426 have?

Number 426 has 3 Prime Factors