Prime Factorization of 1000
What is the Prime Factorization of 1000?
or
Explanation of number 1000 Prime Factorization
Prime Factorization of 1000 it is expressing 1000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1000.
Since number 1000 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 1000, we have to iteratively divide 1000 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 1000:
The smallest Prime Number which can divide 1000 without a remainder is 2. So the first calculation step would look like:
1000 ÷ 2 = 500
Now we repeat this action until the result equals 1:
500 ÷ 2 = 250
250 ÷ 2 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
Now we have all the Prime Factors for number 1000. It is: 2, 2, 2, 5, 5, 5
Or you may also write it in exponential form: 23 × 53
Prime Factor Tree of 1000
We may also express the prime factorization of 1000 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/1000">Prime factors of 1000 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 985 | 5, 197 |
| 986 | 2, 17, 29 |
| 987 | 3, 7, 47 |
| 988 | 22 × 13 × 19 |
| 989 | 23, 43 |
| 990 | 2 × 32 × 5 × 11 |
| 991 | 991 |
| 992 | 25 × 31 |
| 993 | 3, 331 |
| 994 | 2, 7, 71 |
| 995 | 5, 199 |
| 996 | 22 × 3 × 83 |
| 997 | 997 |
| 998 | 2, 499 |
| 999 | 33 × 37 |
| 1000 | 23 × 53 |
| 1001 | 7, 11, 13 |
| 1002 | 2, 3, 167 |
| 1003 | 17, 59 |
| 1004 | 22 × 251 |
| 1005 | 3, 5, 67 |
| 1006 | 2, 503 |
| 1007 | 19, 53 |
| 1008 | 24 × 32 × 7 |
| 1009 | 1009 |
| 1010 | 2, 5, 101 |
| 1011 | 3, 337 |
| 1012 | 22 × 11 × 23 |
| 1013 | 1013 |
| 1014 | 2 × 3 × 132 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself