Prime Factorization of 963
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What is the Prime Factorization of 963?
or
Explanation of number 963 Prime Factorization
Prime Factorization of 963 it is expressing 963 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 963.
Since number 963 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 963, we have to iteratively divide 963 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 963:
The smallest Prime Number which can divide 963 without a remainder is 3. So the first calculation step would look like:
963 ÷ 3 = 321
Now we repeat this action until the result equals 1:
321 ÷ 3 = 107
107 ÷ 107 = 1
Now we have all the Prime Factors for number 963. It is: 3, 3, 107
Or you may also write it in exponential form: 32 × 107
Prime Factor Tree of 963
We may also express the prime factorization of 963 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 |
---|---|
948 | 22 × 3 × 79 |
949 | 13, 73 |
950 | 2 × 52 × 19 |
951 | 3, 317 |
952 | 23 × 7 × 17 |
953 | 953 |
954 | 2 × 32 × 53 |
955 | 5, 191 |
956 | 22 × 239 |
957 | 3, 11, 29 |
958 | 2, 479 |
959 | 7, 137 |
960 | 26 × 3 × 5 |
961 | 312 |
962 | 2, 13, 37 |
963 | 32 × 107 |
964 | 22 × 241 |
965 | 5, 193 |
966 | 2, 3, 7, 23 |
967 | 967 |
968 | 23 × 112 |
969 | 3, 17, 19 |
970 | 2, 5, 97 |
971 | 971 |
972 | 22 × 35 |
973 | 7, 139 |
974 | 2, 487 |
975 | 3 × 52 × 13 |
976 | 24 × 61 |
977 | 977 |
FAQ
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See Also
- Prime factors of 944
- Prime factors of 945
- Prime factors of 946
- Prime factors of 947
- Prime factors of 949
- Prime factors of 950
- Prime factors of 954
- Prime factors of 957
- Prime factors of 960
- Prime factors of 961
- Prime factors of 964
- Prime factors of 966
- Prime factors of 967
- Prime factors of 968
- Prime factors of 969
- Prime factors of 972
- Prime factors of 975
- Prime factors of 976
- Prime factors of 977
- Prime factors of 980
- Простые множители числа 963