Prime Factorization of 336

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Prime Factors of

What is the Prime Factorization of 336?

Answer: Prime Factors of 336: 2, 2, 2, 2, 3, 7

or

24 × 3 × 7

Explanation of number 336 Prime Factorization

Prime Factorization of 336 it is expressing 336 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 336.

Since number 336 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 336, we have to iteratively divide 336 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 336:

The smallest Prime Number which can divide 336 without a remainder is 2. So the first calculation step would look like:

336 ÷ 2 = 168

Now we repeat this action until the result equals 1:

168 ÷ 2 = 84

84 ÷ 2 = 42

42 ÷ 2 = 21

21 ÷ 3 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 336. It is: 2, 2, 2, 2, 3, 7

Or you may also write it in exponential form: 24 × 3 × 7

Prime Factor Tree of 336

We may also express the prime factorization of 336 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 336? (The answer is: 2, 2, 2, 2, 3, 7). Pick the number for factorization (e.g. '336'). 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
3213, 107
3222, 7, 23
32317, 19
32422 × 34
32552 × 13
3262, 163
3273, 109
32823 × 41
3297, 47
3302, 3, 5, 11
331331
33222 × 83
33332 × 37
3342, 167
3355, 67
33624 × 3 × 7
337337
3382 × 132
3393, 113
34022 × 5 × 17
34111, 31
3422 × 32 × 19
34373
34423 × 43
3453, 5, 23
3462, 173
347347
34822 × 3 × 29
349349
3502 × 52 × 7

FAQ

What is the Prime Factorization of 336?

Prime Factors of 336: 2, 2, 2, 2, 3, 7

How many prime factors does 336 have?

Number 336 has 6 Prime Factors

What is the Prime Factorization of 336 in exponential form?

The Prime Factorization of the number 336 in the exponential form is: 24 × 3 × 7

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