Prime Factorization of 387

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Prime Factors of

What is the Prime Factorization of 387?

Answer: Prime Factors of 387: 3, 3, 43

or

32 × 43

Explanation of number 387 Prime Factorization

Prime Factorization of 387 it is expressing 387 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 387.

Since number 387 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 387, we have to iteratively divide 387 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 387:

The smallest Prime Number which can divide 387 without a remainder is 3. So the first calculation step would look like:

387 ÷ 3 = 129

Now we repeat this action until the result equals 1:

129 ÷ 3 = 43

43 ÷ 43 = 1

Now we have all the Prime Factors for number 387. It is: 3, 3, 43

Or you may also write it in exponential form: 32 × 43

Prime Factor Tree of 387

We may also express the prime factorization of 387 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 387? (The answer is: 3, 3, 43). Pick the number for factorization (e.g. '387'). 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
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
3933, 131
3942, 197
3955, 79
39622 × 32 × 11
397397
3982, 199
3993, 7, 19
40024 × 52
401401

FAQ

What is the Prime Factorization of 387?

Prime Factors of 387: 3, 3, 43

How many prime factors does 387 have?

Number 387 has 3 Prime Factors

What is the Prime Factorization of 387 in exponential form?

The Prime Factorization of the number 387 in the exponential form is: 32 × 43

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