Prime Factorization of 24000
What is the Prime Factorization of 24000?
or
Explanation of number 24000 Prime Factorization
Prime Factorization of 24000 it is expressing 24000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 24000.
Since number 24000 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 24000, we have to iteratively divide 24000 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 24000:
The smallest Prime Number which can divide 24000 without a remainder is 2. So the first calculation step would look like:
24000 ÷ 2 = 12000
Now we repeat this action until the result equals 1:
12000 ÷ 2 = 6000
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 24000. It is: 2, 2, 2, 2, 2, 2, 3, 5, 5, 5
Or you may also write it in exponential form: 26 × 3 × 53
Prime Factor Tree of 24000
We may also express the prime factorization of 24000 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/24000">Prime factors of 24000 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 23985 | 32 × 5 × 13 × 41 |
| 23986 | 2, 67, 179 |
| 23987 | 172 × 83 |
| 23988 | 22 × 3 × 1999 |
| 23989 | 7, 23, 149 |
| 23990 | 2, 5, 2399 |
| 23991 | 3, 11, 727 |
| 23992 | 23 × 2999 |
| 23993 | 23993 |
| 23994 | 2 × 32 × 31 × 43 |
| 23995 | 5, 4799 |
| 23996 | 22 × 7 × 857 |
| 23997 | 3, 19, 421 |
| 23998 | 2 × 132 × 71 |
| 23999 | 103, 233 |
| 24000 | 26 × 3 × 53 |
| 24001 | 24001 |
| 24002 | 2, 11, 1091 |
| 24003 | 33 × 7 × 127 |
| 24004 | 22 × 17 × 353 |
| 24005 | 5, 4801 |
| 24006 | 2, 3, 4001 |
| 24007 | 24007 |
| 24008 | 23 × 3001 |
| 24009 | 3, 53, 151 |
| 24010 | 2 × 5 × 74 |
| 24011 | 13, 1847 |
| 24012 | 22 × 32 × 23 × 29 |
| 24013 | 11, 37, 59 |
| 24014 | 2, 12007 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself