Prime Factorization of 14000
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What is the Prime Factorization of 14000?
or
Explanation of number 14000 Prime Factorization
Prime Factorization of 14000 it is expressing 14000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 14000.
Since number 14000 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 14000, we have to iteratively divide 14000 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 14000:
The smallest Prime Number which can divide 14000 without a remainder is 2. So the first calculation step would look like:
14000 ÷ 2 = 7000
Now we repeat this action until the result equals 1:
7000 ÷ 2 = 3500
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 14000. It is: 2, 2, 2, 2, 5, 5, 5, 7
Or you may also write it in exponential form: 24 × 53 × 7
Prime Factor Tree of 14000
We may also express the prime factorization of 14000 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 |
---|---|
13985 | 5, 2797 |
13986 | 2 × 33 × 7 × 37 |
13987 | 71, 197 |
13988 | 22 × 13 × 269 |
13989 | 3, 4663 |
13990 | 2, 5, 1399 |
13991 | 17, 823 |
13992 | 23 × 3 × 11 × 53 |
13993 | 7, 1999 |
13994 | 2, 6997 |
13995 | 32 × 5 × 311 |
13996 | 22 × 3499 |
13997 | 13997 |
13998 | 2, 3, 2333 |
13999 | 13999 |
14000 | 24 × 53 × 7 |
14001 | 3, 13, 359 |
14002 | 2, 7001 |
14003 | 11, 19, 67 |
14004 | 22 × 32 × 389 |
14005 | 5, 2801 |
14006 | 2, 47, 149 |
14007 | 3, 7, 23, 29 |
14008 | 23 × 17 × 103 |
14009 | 14009 |
14010 | 2, 3, 5, 467 |
14011 | 14011 |
14012 | 22 × 31 × 113 |
14013 | 34 × 173 |
14014 | 2 × 72 × 11 × 13 |
FAQ
What is the Prime Factorization of 14000?
How many prime factors does 14000 have?
What is the Prime Factorization of 14000 in exponential form?
See Also
- Prime factors of 9580
- Prime factors of 9600
- Prime factors of 9800
- Prime factors of 9900
- Prime factors of 9990
- Prime factors of 10000
- Prime factors of 10850
- Prime factors of 11000
- Prime factors of 12000
- Prime factors of 13000
- Prime factors of 14014
- Prime factors of 15000
- Prime factors of 15125
- Prime factors of 16000
- Prime factors of 16384
- Prime factors of 17000
- Prime factors of 18000
- Prime factors of 20000
- Prime factors of 21780
- Prime factors of 24000
- Простые множители числа 14000