Prime Factorization of 4000
What is the Prime Factorization of 4000?
or
Explanation of number 4000 Prime Factorization
Prime Factorization of 4000 it is expressing 4000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 4000.
Since number 4000 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 4000, we have to iteratively divide 4000 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 4000:
The smallest Prime Number which can divide 4000 without a remainder is 2. So the first calculation step would look like:
4000 ÷ 2 = 2000
Now we repeat this action until the result equals 1:
2000 ÷ 2 = 1000
1000 ÷ 2 = 500
500 ÷ 2 = 250
250 ÷ 2 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
Now we have all the Prime Factors for number 4000. It is: 2, 2, 2, 2, 2, 5, 5, 5
Or you may also write it in exponential form: 25 × 53
Prime Factor Tree of 4000
We may also express the prime factorization of 4000 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/4000">Prime factors of 4000 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 3985 | 5, 797 |
| 3986 | 2, 1993 |
| 3987 | 32 × 443 |
| 3988 | 22 × 997 |
| 3989 | 3989 |
| 3990 | 2, 3, 5, 7, 19 |
| 3991 | 13, 307 |
| 3992 | 23 × 499 |
| 3993 | 3 × 113 |
| 3994 | 2, 1997 |
| 3995 | 5, 17, 47 |
| 3996 | 22 × 33 × 37 |
| 3997 | 7, 571 |
| 3998 | 2, 1999 |
| 3999 | 3, 31, 43 |
| 4000 | 25 × 53 |
| 4001 | 4001 |
| 4002 | 2, 3, 23, 29 |
| 4003 | 4003 |
| 4004 | 22 × 7 × 11 × 13 |
| 4005 | 32 × 5 × 89 |
| 4006 | 2, 2003 |
| 4007 | 4007 |
| 4008 | 23 × 3 × 167 |
| 4009 | 19, 211 |
| 4010 | 2, 5, 401 |
| 4011 | 3, 7, 191 |
| 4012 | 22 × 17 × 59 |
| 4013 | 4013 |
| 4014 | 2 × 32 × 223 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself