Prime Factorization of 825
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What is the Prime Factorization of 825?
or
Explanation of number 825 Prime Factorization
Prime Factorization of 825 it is expressing 825 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 825.
Since number 825 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 825, we have to iteratively divide 825 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 825:
The smallest Prime Number which can divide 825 without a remainder is 3. So the first calculation step would look like:
825 ÷ 3 = 275
Now we repeat this action until the result equals 1:
275 ÷ 5 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1
Now we have all the Prime Factors for number 825. It is: 3, 5, 5, 11
Or you may also write it in exponential form: 3 × 52 × 11
Prime Factor Tree of 825
We may also express the prime factorization of 825 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 |
---|---|
810 | 2 × 34 × 5 |
811 | 811 |
812 | 22 × 7 × 29 |
813 | 3, 271 |
814 | 2, 11, 37 |
815 | 5, 163 |
816 | 24 × 3 × 17 |
817 | 19, 43 |
818 | 2, 409 |
819 | 32 × 7 × 13 |
820 | 22 × 5 × 41 |
821 | 821 |
822 | 2, 3, 137 |
823 | 823 |
824 | 23 × 103 |
825 | 3 × 52 × 11 |
826 | 2, 7, 59 |
827 | 827 |
828 | 22 × 32 × 23 |
829 | 829 |
830 | 2, 5, 83 |
831 | 3, 277 |
832 | 26 × 13 |
833 | 72 × 17 |
834 | 2, 3, 139 |
835 | 5, 167 |
836 | 22 × 11 × 19 |
837 | 33 × 31 |
838 | 2, 419 |
839 | 839 |
FAQ
What is the Prime Factorization of 825?
How many prime factors does 825 have?
What is the Prime Factorization of 825 in exponential form?
See Also
- Prime factors of 814
- Prime factors of 815
- Prime factors of 816
- Prime factors of 817
- Prime factors of 819
- Prime factors of 820
- Prime factors of 821
- Prime factors of 822
- Prime factors of 823
- Prime factors of 824
- Prime factors of 828
- Prime factors of 829
- Prime factors of 832
- Prime factors of 840
- Prime factors of 841
- Prime factors of 842
- Prime factors of 845
- Prime factors of 846
- Prime factors of 847
- Prime factors of 850
- Простые множители числа 825