Prime Factorization of 438

What is the Prime Factorization of 438?

Answer: Prime Factors of 438: 2, 3, 73

Explanation of number 438 Prime Factorization

Prime Factorization of 438 it is expressing 438 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 438.

Since number 438 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 438, we have to iteratively divide 438 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 438:

The smallest Prime Number which can divide 438 without a remainder is 2. So the first calculation step would look like:

438 ÷ 2 = 219

Now we repeat this action until the result equals 1:

219 ÷ 3 = 73

73 ÷ 73 = 1

Now we have all the Prime Factors for number 438. It is: 2, 3, 73

Prime Factor Tree of 438

We may also express the prime factorization of 438 as a Factor Tree:

Prime factors of 438 factorization tree of 438

See Also

Prime Factorization Table

NumberPrime Factors
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
32 × 72
2, 13, 17
443
22 × 3 × 37
5, 89
4462, 223
3, 149
26 × 7
449
2 × 32 × 52
11, 41
22 × 113

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 438? (The answer is: 2, 3, 73). Pick the number for factorization (e.g. '438'). 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 438?

Prime Factors of 438: 2, 3, 73

How many prime factors does 438 have?

Number 438 has 3 Prime Factors