Prime Factorization of 21000
What is the Prime Factorization of 21000?
or
Explanation of number 21000 Prime Factorization
Prime Factorization of 21000 it is expressing 21000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 21000.
Since number 21000 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 21000, we have to iteratively divide 21000 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 21000:
The smallest Prime Number which can divide 21000 without a remainder is 2. So the first calculation step would look like:
21000 ÷ 2 = 10500
Now we repeat this action until the result equals 1:
10500 ÷ 2 = 5250
5250 ÷ 2 = 2625
2625 ÷ 3 = 875
875 ÷ 5 = 175
175 ÷ 5 = 35
35 ÷ 5 = 7
7 ÷ 7 = 1
Now we have all the Prime Factors for number 21000. It is: 2, 2, 2, 3, 5, 5, 5, 7
Or you may also write it in exponential form: 23 × 3 × 53 × 7
Related Calculations
Prime Factorization Table
Number | Prime Factors |
---|---|
20985 | 3, 5, 1399 |
20986 | 2, 7, 1499 |
20987 | 31, 677 |
20988 | 22 × 32 × 11 × 53 |
20989 | 139, 151 |
20990 | 2, 5, 2099 |
20991 | 3, 6997 |
20992 | 29 × 41 |
20993 | 7, 2999 |
20994 | 2, 3, 3499 |
20995 | 5, 13, 17, 19 |
20996 | 22 × 29 × 181 |
20997 | 32 × 2333 |
20998 | 2, 10499 |
20999 | 11, 23, 83 |
21000 | 23 × 3 × 53 × 7 |
21001 | 21001 |
21002 | 2, 10501 |
21003 | 3, 7001 |
21004 | 22 × 59 × 89 |
21005 | 5, 4201 |
21006 | 2 × 33 × 389 |
21007 | 7, 3001 |
21008 | 24 × 13 × 101 |
21009 | 3, 47, 149 |
21010 | 2, 5, 11, 191 |
21011 | 21011 |
21012 | 22 × 3 × 17 × 103 |
21013 | 21013 |
21014 | 2, 7, 19, 79 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself