Prime Factorization of 900
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What is the Prime Factorization of 900?
or
Explanation of number 900 Prime Factorization
Prime Factorization of 900 it is expressing 900 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 900.
Since number 900 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 900, we have to iteratively divide 900 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 900:
The smallest Prime Number which can divide 900 without a remainder is 2. So the first calculation step would look like:
900 ÷ 2 = 450
Now we repeat this action until the result equals 1:
450 ÷ 2 = 225
225 ÷ 3 = 75
75 ÷ 3 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
Now we have all the Prime Factors for number 900. It is: 2, 2, 3, 3, 5, 5
Or you may also write it in exponential form: 22 × 32 × 52
Prime Factor Tree of 900
We may also express the prime factorization of 900 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 |
---|---|
885 | 3, 5, 59 |
886 | 2, 443 |
887 | 887 |
888 | 23 × 3 × 37 |
889 | 7, 127 |
890 | 2, 5, 89 |
891 | 34 × 11 |
892 | 22 × 223 |
893 | 19, 47 |
894 | 2, 3, 149 |
895 | 5, 179 |
896 | 27 × 7 |
897 | 3, 13, 23 |
898 | 2, 449 |
899 | 29, 31 |
900 | 22 × 32 × 52 |
901 | 17, 53 |
902 | 2, 11, 41 |
903 | 3, 7, 43 |
904 | 23 × 113 |
905 | 5, 181 |
906 | 2, 3, 151 |
907 | 907 |
908 | 22 × 227 |
909 | 32 × 101 |
910 | 2, 5, 7, 13 |
911 | 911 |
912 | 24 × 3 × 19 |
913 | 11, 83 |
914 | 2, 457 |
FAQ
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See Also
- Prime factors of 882
- Prime factors of 884
- Prime factors of 887
- Prime factors of 888
- Prime factors of 890
- Prime factors of 891
- Prime factors of 893
- Prime factors of 896
- Prime factors of 897
- Prime factors of 899
- Prime factors of 901
- Prime factors of 903
- Prime factors of 907
- Prime factors of 909
- Prime factors of 910
- Prime factors of 911
- Prime factors of 912
- Prime factors of 913
- Prime factors of 919
- Prime factors of 920
- Простые множители числа 900