Prime Factorization of 5000
What is the Prime Factorization of 5000?
or
Explanation of number 5000 Prime Factorization
Prime Factorization of 5000 it is expressing 5000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 5000.
Since number 5000 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 5000, we have to iteratively divide 5000 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 5000:
The smallest Prime Number which can divide 5000 without a remainder is 2. So the first calculation step would look like:
5000 ÷ 2 = 2500
Now we repeat this action until the result equals 1:
2500 ÷ 2 = 1250
1250 ÷ 2 = 625
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
Now we have all the Prime Factors for number 5000. It is: 2, 2, 2, 5, 5, 5, 5
Or you may also write it in exponential form: 23 × 54
Prime Factor Tree of 5000
We may also express the prime factorization of 5000 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/5000">Prime factors of 5000 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 4985 | 5, 997 |
| 4986 | 2 × 32 × 277 |
| 4987 | 4987 |
| 4988 | 22 × 29 × 43 |
| 4989 | 3, 1663 |
| 4990 | 2, 5, 499 |
| 4991 | 7, 23, 31 |
| 4992 | 27 × 3 × 13 |
| 4993 | 4993 |
| 4994 | 2, 11, 227 |
| 4995 | 33 × 5 × 37 |
| 4996 | 22 × 1249 |
| 4997 | 19, 263 |
| 4998 | 2 × 3 × 72 × 17 |
| 4999 | 4999 |
| 5000 | 23 × 54 |
| 5001 | 3, 1667 |
| 5002 | 2, 41, 61 |
| 5003 | 5003 |
| 5004 | 22 × 32 × 139 |
| 5005 | 5, 7, 11, 13 |
| 5006 | 2, 2503 |
| 5007 | 3, 1669 |
| 5008 | 24 × 313 |
| 5009 | 5009 |
| 5010 | 2, 3, 5, 167 |
| 5011 | 5011 |
| 5012 | 22 × 7 × 179 |
| 5013 | 32 × 557 |
| 5014 | 2, 23, 109 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself