Prime Factorization of 48

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Prime Factors of

What is the Prime Factorization of 48?

Answer

Prime Factors of 48: 2, 2, 2, 2, 3

or

24 × 3

Explanation of number 48 Prime Factorization

Prime Factorization of 48 is expressing 48 as the product of prime factors. In other words, it is finding which prime numbers should be multiplied together to make 48.

Since number 48 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 48, we have to iteratively divide 48 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 48:

The smallest Prime Number which can divide 48 without a remainder is 2. So the first calculation step would look like:

48 ÷ 2 = 24

Now we repeat this action until the result equals 1:

24 ÷ 2 = 12

12 ÷ 2 = 6

6 ÷ 2 = 3

3 ÷ 3 = 1

Now we have all the Prime Factors for number 48. It is: 2, 2, 2, 2, 3

Or you may also write it in exponential form: 24 × 3

Prime Factor Tree of 48

We may also express the prime factorization of 48 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 48? (The answer is: 2, 2, 2, 2, 3). Pick the number for factorization (e.g. '48'). 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
333, 11
342, 17
355, 7
3622 × 32
3737
382, 19
393, 13
4023 × 5
4141
422, 3, 7
4343
4422 × 11
4532 × 5
462, 23
4747
4824 × 3
4972
502 × 52
513, 17
5222 × 13
5353
542 × 33
555, 11
5623 × 7
573, 19
582, 29
5959
6022 × 3 × 5
6161
622, 31

FAQ

What is the Prime Factorization of 48?

Prime Factors of 48: 2, 2, 2, 2, 3

How many prime factors does 48 have?

Number 48 has 5 Prime Factors

What is the Prime Factorization of 48 in exponential form?

The Prime Factorization of the number 48 in the exponential form is: 24 × 3

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