Prime Factorization of 432

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Prime Factors of

What is the Prime Factorization of 432?

Answer: Prime Factors of 432: 2, 2, 2, 2, 3, 3, 3

or

24 × 33

Explanation of number 432 Prime Factorization

Prime Factorization of 432 it is expressing 432 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 432.

Since number 432 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 432, we have to iteratively divide 432 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 432:

The smallest Prime Number which can divide 432 without a remainder is 2. So the first calculation step would look like:

432 ÷ 2 = 216

Now we repeat this action until the result equals 1:

216 ÷ 2 = 108

108 ÷ 2 = 54

54 ÷ 2 = 27

27 ÷ 3 = 9

9 ÷ 3 = 3

3 ÷ 3 = 1

Now we have all the Prime Factors for number 432. It is: 2, 2, 2, 2, 3, 3, 3

Or you may also write it in exponential form: 24 × 33

Prime Factor Tree of 432

We may also express the prime factorization of 432 as a Factor Tree:

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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 432? (The answer is: 2, 2, 2, 2, 3, 3, 3). Pick the number for factorization (e.g. '432'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

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Prime Factors of

Prime Factorization Table

NumberPrime Factors
4173, 139
4182, 11, 19
419419
42022 × 3 × 5 × 7
421421
4222, 211
42332 × 47
42423 × 53
42552 × 17
4262, 3, 71
4277, 61
42822 × 107
4293, 11, 13
4302, 5, 43
431431
43224 × 33
433433
4342, 7, 31
4353, 5, 29
43622 × 109
43719, 23
4382, 3, 73
439439
44023 × 5 × 11
44132 × 72
4422, 13, 17
443443
44422 × 3 × 37
4455, 89
4462, 223

FAQ

What is the Prime Factorization of 432?

Prime Factors of 432: 2, 2, 2, 2, 3, 3, 3

How many prime factors does 432 have?

Number 432 has 7 Prime Factors

What is the Prime Factorization of 432 in exponential form?

The Prime Factorization of the number 432 in the exponential form is: 24 × 33

See Also