Prime Factorization of 8

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Prime Factors of

What is the Prime Factorization of 8?

Answer: Prime Factors of 8: 2, 2, 2

or

23

Explanation of number 8 Prime Factorization

Prime Factorization of 8 it is expressing 8 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 8.

Since number 8 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 8, we have to iteratively divide 8 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 8:

The smallest Prime Number which can divide 8 without a remainder is 2. So the first calculation step would look like:

8 ÷ 2 = 4

Now we repeat this action until the result equals 1:

4 ÷ 2 = 2

2 ÷ 2 = 1

Now we have all the Prime Factors for number 8. It is: 2, 2, 2

Or you may also write it in exponential form: 23

Prime Factor Tree of 8

We may also express the prime factorization of 8 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 8? (The answer is: 2, 2, 2). Pick the number for factorization (e.g. '8'). 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

Prime Factorization Table

NumberPrime Factors
11
22
33
422
55
62, 3
77
823
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

FAQ

What is the Prime Factorization of 8?

Prime Factors of 8: 2, 2, 2

How many prime factors does 8 have?

Number 8 has 3 Prime Factors

What is the Prime Factorization of 8 in exponential form?

The Prime Factorization of the number 8 in the exponential form is: 23

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