Prime Factorization of 42000
What is the Prime Factorization of 42000?
or
Explanation of number 42000 Prime Factorization
Prime Factorization of 42000 it is expressing 42000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 42000.
Since number 42000 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 42000, we have to iteratively divide 42000 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 42000:
The smallest Prime Number which can divide 42000 without a remainder is 2. So the first calculation step would look like:
42000 ÷ 2 = 21000
Now we repeat this action until the result equals 1:
21000 ÷ 2 = 10500
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 42000. It is: 2, 2, 2, 2, 3, 5, 5, 5, 7
Or you may also write it in exponential form: 24 × 3 × 53 × 7
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/42000">Prime factors of 42000 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 41985 | 33 × 5 × 311 |
| 41986 | 2, 7, 2999 |
| 41987 | 112 × 347 |
| 41988 | 22 × 3 × 3499 |
| 41989 | 199, 211 |
| 41990 | 2, 5, 13, 17, 19 |
| 41991 | 3, 13997 |
| 41992 | 23 × 29 × 181 |
| 41993 | 72 × 857 |
| 41994 | 2 × 32 × 2333 |
| 41995 | 5, 37, 227 |
| 41996 | 22 × 10499 |
| 41997 | 3, 13999 |
| 41998 | 2, 11, 23, 83 |
| 41999 | 41999 |
| 42000 | 24 × 3 × 53 × 7 |
| 42001 | 97, 433 |
| 42002 | 2, 21001 |
| 42003 | 32 × 13 × 359 |
| 42004 | 22 × 10501 |
| 42005 | 5, 31, 271 |
| 42006 | 2, 3, 7001 |
| 42007 | 7, 17, 353 |
| 42008 | 23 × 59 × 89 |
| 42009 | 3, 11, 19, 67 |
| 42010 | 2, 5, 4201 |
| 42011 | 43, 977 |
| 42012 | 22 × 33 × 389 |
| 42013 | 42013 |
| 42014 | 2, 7, 3001 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself