Prime Factorization of 423

What is the Prime Factorization of 423?

Answer: Prime Factors of 423: 3, 3, 47

or

32 × 47

Explanation of number 423 Prime Factorization

Prime Factorization of 423 it is expressing 423 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 423.

Since number 423 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 423, we have to iteratively divide 423 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 423:

The smallest Prime Number which can divide 423 without a remainder is 3. So the first calculation step would look like:

423 ÷ 3 = 141

Now we repeat this action until the result equals 1:

141 ÷ 3 = 47

47 ÷ 47 = 1

Now we have all the Prime Factors for number 423. It is: 3, 3, 47

Or you may also write it in exponential form: 32 × 47

Prime Factor Tree of 423

We may also express the prime factorization of 423 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 423? (The answer is: 3, 3, 47). Pick the number for factorization (e.g. '423'). 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
23 × 3 × 17
409
2, 5, 41
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

FAQ

What is the Prime Factorization of 423?

Prime Factors of 423: 3, 3, 47

How many prime factors does 423 have?

Number 423 has 3 Prime Factors

What is the Prime Factorization of 423 in exponential form?

The Prime Factorization of the number 423 in the exponential form is: 32 × 47