Prime Factorization of 3990

What is the Prime Factorization of 3990?

Answer: Prime Factors of 3990: 2, 3, 5, 7, 19

Explanation of number 3990 Prime Factorization

Prime Factorization of 3990 it is expressing 3990 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 3990.

Since number 3990 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 3990, we have to iteratively divide 3990 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 3990:

The smallest Prime Number which can divide 3990 without a remainder is 2. So the first calculation step would look like:

3990 ÷ 2 = 1995

Now we repeat this action until the result equals 1:

1995 ÷ 3 = 665

665 ÷ 5 = 133

133 ÷ 7 = 19

19 ÷ 19 = 1

Now we have all the Prime Factors for number 3990. It is: 2, 3, 5, 7, 19

Prime Factor Tree of 3990

We may also express the prime factorization of 3990 as a Factor Tree:

Prime factors of 3990 factorization tree of 3990

Prime Factorization Table

NumberPrime Factors
39753 × 52 × 53
397623 × 7 × 71
397741, 97
39782 × 32 × 13 × 17
397923, 173
22 × 5 × 199
39813, 1327
39822, 11, 181
39837, 569
398424 × 3 × 83
39855, 797
39862, 1993
398732 × 443
398822 × 997
39893989
2, 3, 5, 7, 19
399113, 307
399223 × 499
39933 × 113
39942, 1997
39955, 17, 47
399622 × 33 × 37
39977, 571
39982, 1999
39993, 31, 43
25 × 53
40014001
40022, 3, 23, 29
40034003
400422 × 7 × 11 × 13

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 3990? (The answer is: 2, 3, 5, 7, 19). Pick the number for factorization (e.g. '3990'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

FAQ

What is the Prime Factorization of 3990?

Prime Factors of 3990: 2, 3, 5, 7, 19

How many prime factors does 3990 have?

Number 3990 has 5 Prime Factors