Prime Factorization of 7000
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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:
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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 |
---|---|
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 |
FAQ
What is the Prime Factorization of 7000?
How many prime factors does 7000 have?
What is the Prime Factorization of 7000 in exponential form?
See Also
- Prime factors of 6545
- Prime factors of 6600
- Prime factors of 6615
- Prime factors of 6625
- Prime factors of 6670
- Prime factors of 6720
- Prime factors of 6750
- Prime factors of 6800
- Prime factors of 6825
- Prime factors of 6930
- Prime factors of 7020
- Prime factors of 7140
- Prime factors of 7200
- Prime factors of 7225
- Prime factors of 7325
- Prime factors of 7350
- Prime factors of 7400
- Prime factors of 7420
- Prime factors of 7425
- Prime factors of 7500
- Простые множители числа 7000