Prime Factorization of 378

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Prime Factors of

What is the Prime Factorization of 378?

Answer: Prime Factors of 378: 2, 3, 3, 3, 7

or

2 × 33 × 7

Explanation of number 378 Prime Factorization

Prime Factorization of 378 it is expressing 378 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 378.

Since number 378 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 378, we have to iteratively divide 378 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 378:

The smallest Prime Number which can divide 378 without a remainder is 2. So the first calculation step would look like:

378 ÷ 2 = 189

Now we repeat this action until the result equals 1:

189 ÷ 3 = 63

63 ÷ 3 = 21

21 ÷ 3 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 378. It is: 2, 3, 3, 3, 7

Or you may also write it in exponential form: 2 × 33 × 7

Prime Factor Tree of 378

We may also express the prime factorization of 378 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 378? (The answer is: 2, 3, 3, 3, 7). Pick the number for factorization (e.g. '378'). 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
3633 × 112
36422 × 7 × 13
3655, 73
3662, 3, 61
367367
36824 × 23
36932 × 41
3702, 5, 37
3717, 53
37222 × 3 × 31
373373
3742, 11, 17
3753 × 53
37623 × 47
37713, 29
3782 × 33 × 7
379379
38022 × 5 × 19
3813, 127
3822, 191
383383
38427 × 3
3855, 7, 11
3862, 193
38732 × 43
38822 × 97
389389
3902, 3, 5, 13
39117, 23
39223 × 72

FAQ

What is the Prime Factorization of 378?

Prime Factors of 378: 2, 3, 3, 3, 7

How many prime factors does 378 have?

Number 378 has 5 Prime Factors

What is the Prime Factorization of 378 in exponential form?

The Prime Factorization of the number 378 in the exponential form is: 2 × 33 × 7

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