Prime Factorization of 444

What is the Prime Factorization of 444?

Answer: Prime Factors of 444: 2, 2, 3, 37

or

22 × 3 × 37

Explanation of number 444 Prime Factorization

Prime Factorization of 444 it is expressing 444 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 444.

Since number 444 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 444, we have to iteratively divide 444 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 444:

The smallest Prime Number which can divide 444 without a remainder is 2. So the first calculation step would look like:

444 ÷ 2 = 222

Now we repeat this action until the result equals 1:

222 ÷ 2 = 111

111 ÷ 3 = 37

37 ÷ 37 = 1

Now we have all the Prime Factors for number 444. It is: 2, 2, 3, 37

Or you may also write it in exponential form: 22 × 3 × 37

Prime Factor Tree of 444

We may also express the prime factorization of 444 as a Factor Tree:

Prime factors of 444 factorization tree of 444

See Also

Prime Factorization Table

NumberPrime Factors
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
3, 151
2, 227
5, 7, 13
23 × 3 × 19
457
2, 229

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 444? (The answer is: 2, 2, 3, 37). Pick the number for factorization (e.g. '444'). 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 444?

Prime Factors of 444: 2, 2, 3, 37

How many prime factors does 444 have?

Number 444 has 4 Prime Factors

What is the Prime Factorization of 444 in exponential form?

The Prime Factorization of the number 444 in the exponential form is: 22 × 3 × 37