Prime Factorization of 8000
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What is the Prime Factorization of 8000?
or
Explanation of number 8000 Prime Factorization
Prime Factorization of 8000 it is expressing 8000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 8000.
Since number 8000 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 8000, we have to iteratively divide 8000 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 8000:
The smallest Prime Number which can divide 8000 without a remainder is 2. So the first calculation step would look like:
8000 ÷ 2 = 4000
Now we repeat this action until the result equals 1:
4000 ÷ 2 = 2000
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 8000. It is: 2, 2, 2, 2, 2, 2, 5, 5, 5
Or you may also write it in exponential form: 26 × 53
Prime Factor Tree of 8000
We may also express the prime factorization of 8000 as a Factor Tree:
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Prime factors are the positive integers having only two factors - 1 and the number itself
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Prime Factorization Table
Number | Prime Factors |
---|---|
7985 | 5, 1597 |
7986 | 2 × 3 × 113 |
7987 | 72 × 163 |
7988 | 22 × 1997 |
7989 | 3, 2663 |
7990 | 2, 5, 17, 47 |
7991 | 61, 131 |
7992 | 23 × 33 × 37 |
7993 | 7993 |
7994 | 2, 7, 571 |
7995 | 3, 5, 13, 41 |
7996 | 22 × 1999 |
7997 | 11, 727 |
7998 | 2, 3, 31, 43 |
7999 | 19, 421 |
8000 | 26 × 53 |
8001 | 32 × 7 × 127 |
8002 | 2, 4001 |
8003 | 53, 151 |
8004 | 22 × 3 × 23 × 29 |
8005 | 5, 1601 |
8006 | 2, 4003 |
8007 | 3, 17, 157 |
8008 | 23 × 7 × 11 × 13 |
8009 | 8009 |
8010 | 2 × 32 × 5 × 89 |
8011 | 8011 |
8012 | 22 × 2003 |
8013 | 3, 2671 |
8014 | 2, 4007 |
FAQ
What is the Prime Factorization of 8000?
How many prime factors does 8000 have?
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See Also
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- Простые множители числа 8000