Prime Factorization of 12000
What is the Prime Factorization of 12000?
or
Explanation of number 12000 Prime Factorization
Prime Factorization of 12000 it is expressing 12000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 12000.
Since number 12000 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 12000, we have to iteratively divide 12000 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 12000:
The smallest Prime Number which can divide 12000 without a remainder is 2. So the first calculation step would look like:
12000 ÷ 2 = 6000
Now we repeat this action until the result equals 1:
6000 ÷ 2 = 3000
3000 ÷ 2 = 1500
1500 ÷ 2 = 750
750 ÷ 2 = 375
375 ÷ 3 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
Now we have all the Prime Factors for number 12000. It is: 2, 2, 2, 2, 2, 3, 5, 5, 5
Or you may also write it in exponential form: 25 × 3 × 53
Prime Factor Tree of 12000
We may also express the prime factorization of 12000 as a Factor Tree:
Related Calculations
See Also
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Is number a Prime - Find out whether a given number is Prime or not
- Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between
<a href="https://calculat.io/en/number/prime-factors-of/12000">Prime factors of 12000 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 11985 | 3, 5, 17, 47 |
| 11986 | 2, 13, 461 |
| 11987 | 11987 |
| 11988 | 22 × 34 × 37 |
| 11989 | 19, 631 |
| 11990 | 2, 5, 11, 109 |
| 11991 | 3, 7, 571 |
| 11992 | 23 × 1499 |
| 11993 | 67, 179 |
| 11994 | 2, 3, 1999 |
| 11995 | 5, 2399 |
| 11996 | 22 × 2999 |
| 11997 | 32 × 31 × 43 |
| 11998 | 2, 7, 857 |
| 11999 | 132 × 71 |
| 12000 | 25 × 3 × 53 |
| 12001 | 11, 1091 |
| 12002 | 2, 17, 353 |
| 12003 | 3, 4001 |
| 12004 | 22 × 3001 |
| 12005 | 5 × 74 |
| 12006 | 2 × 32 × 23 × 29 |
| 12007 | 12007 |
| 12008 | 23 × 19 × 79 |
| 12009 | 3, 4003 |
| 12010 | 2, 5, 1201 |
| 12011 | 12011 |
| 12012 | 22 × 3 × 7 × 11 × 13 |
| 12013 | 41, 293 |
| 12014 | 2, 6007 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself