Prime Factorization of 437

What is the Prime Factorization of 437?

Answer: Prime Factors of 437: 19, 23

Explanation of number 437 Prime Factorization

Prime Factorization of 437 it is expressing 437 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 437.

Since number 437 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 437, we have to iteratively divide 437 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 437:

The smallest Prime Number which can divide 437 without a remainder is 19. So the first calculation step would look like:

437 ÷ 19 = 23

Now we repeat this action until the result equals 1:

23 ÷ 23 = 1

Now we have all the Prime Factors for number 437. It is: 19, 23

Prime Factor Tree of 437

We may also express the prime factorization of 437 as a Factor Tree:

Prime factors of 437 factorization tree of 437

Prime Factorization Table

NumberPrime Factors
4222, 211
32 × 47
23 × 53
52 × 17
2, 3, 71
4277, 61
22 × 107
3, 11, 13
2, 5, 43
431
24 × 33
433
4342, 7, 31
3, 5, 29
22 × 109
19, 23
2, 3, 73
439
23 × 5 × 11
32 × 72
2, 13, 17
443
22 × 3 × 37
5, 89
4462, 223
3, 149
26 × 7
449
2 × 32 × 52
11, 41

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 437? (The answer is: 19, 23). Pick the number for factorization (e.g. '437'). 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 437?

Prime Factors of 437: 19, 23

How many prime factors does 437 have?

Number 437 has 2 Prime Factors