Prime Factorization of 7000
What is the Prime Factorization of 7000?
or
Explanation of number 7000 Prime Factorization
Prime Factorization of 7000 it is expressing 7000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 7000.
Since number 7000 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 7000, we have to iteratively divide 7000 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 7000:
The smallest Prime Number which can divide 7000 without a remainder is 2. So the first calculation step would look like:
7000 ÷ 2 = 3500
Now we repeat this action until the result equals 1:
3500 ÷ 2 = 1750
1750 ÷ 2 = 875
875 ÷ 5 = 175
175 ÷ 5 = 35
35 ÷ 5 = 7
7 ÷ 7 = 1
Now we have all the Prime Factors for number 7000. It is: 2, 2, 2, 5, 5, 5, 7
Or you may also write it in exponential form: 23 × 53 × 7
Prime Factor Tree of 7000
We may also express the prime factorization of 7000 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/7000">Prime factors of 7000 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 6985 | 5, 11, 127 |
| 6986 | 2, 7, 499 |
| 6987 | 3, 17, 137 |
| 6988 | 22 × 1747 |
| 6989 | 29, 241 |
| 6990 | 2, 3, 5, 233 |
| 6991 | 6991 |
| 6992 | 24 × 19 × 23 |
| 6993 | 33 × 7 × 37 |
| 6994 | 2, 13, 269 |
| 6995 | 5, 1399 |
| 6996 | 22 × 3 × 11 × 53 |
| 6997 | 6997 |
| 6998 | 2, 3499 |
| 6999 | 3, 2333 |
| 7000 | 23 × 53 × 7 |
| 7001 | 7001 |
| 7002 | 2 × 32 × 389 |
| 7003 | 47, 149 |
| 7004 | 22 × 17 × 103 |
| 7005 | 3, 5, 467 |
| 7006 | 2, 31, 113 |
| 7007 | 72 × 11 × 13 |
| 7008 | 25 × 3 × 73 |
| 7009 | 43, 163 |
| 7010 | 2, 5, 701 |
| 7011 | 32 × 19 × 41 |
| 7012 | 22 × 1753 |
| 7013 | 7013 |
| 7014 | 2, 3, 7, 167 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself