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Prime Factorization of 24

"Prime Factorization" Calculator

Prime Factors of

What is the Prime Factorization of 24?

Answer

Prime Factors of 24: 2, 2, 2, 3

or

23 × 3

Explanation of number 24 Prime Factorization

Prime Factorization of 24 is expressing 24 as the product of prime factors. In other words, it is finding which prime numbers should be multiplied together to make 24.

Since number 24 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 24, we have to iteratively divide 24 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 24:

The smallest Prime Number which can divide 24 without a remainder is 2. So the first calculation step would look like:

24 ÷ 2 = 12

Now we repeat this action until the result equals 1:

12 ÷ 2 = 6

6 ÷ 2 = 3

3 ÷ 3 = 1

Now we have all the Prime Factors for number 24. It is: 2, 2, 2, 3

Or you may also write it in exponential form: 23 × 3

Prime Factor Tree of 24

We may also express the prime factorization of 24 as a Factor Tree:

Prime factors of 24 factorization tree of 24

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Prime factors of 24. Prime Factorization of 24. What is 24 as a product of Prime Factors?
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Prime Factorization Table

NumberPrime Factors
932
102, 5
1111
1222 × 3
1313
142, 7
153, 5
1624
1717
182 × 32
1919
2022 × 5
213, 7
222, 11
2323
2423 × 3
2552
262, 13
2733
2822 × 7
2929
302, 3, 5
3131
3225
333, 11
342, 17
355, 7
3622 × 32
3737
382, 19

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 24? (The answer is: 2, 2, 2, 3). Pick the number for factorization (e.g. '24'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

"Prime Factorization" Calculator

Prime Factors of