Prime Factorization of 996
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What is the Prime Factorization of 996?
or
Explanation of number 996 Prime Factorization
Prime Factorization of 996 it is expressing 996 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 996.
Since number 996 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 996, we have to iteratively divide 996 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 996:
The smallest Prime Number which can divide 996 without a remainder is 2. So the first calculation step would look like:
996 ÷ 2 = 498
Now we repeat this action until the result equals 1:
498 ÷ 2 = 249
249 ÷ 3 = 83
83 ÷ 83 = 1
Now we have all the Prime Factors for number 996. It is: 2, 2, 3, 83
Or you may also write it in exponential form: 22 × 3 × 83
Prime Factor Tree of 996
We may also express the prime factorization of 996 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 |
---|---|
981 | 32 × 109 |
982 | 2, 491 |
983 | 983 |
984 | 23 × 3 × 41 |
985 | 5, 197 |
986 | 2, 17, 29 |
987 | 3, 7, 47 |
988 | 22 × 13 × 19 |
989 | 23, 43 |
990 | 2 × 32 × 5 × 11 |
991 | 991 |
992 | 25 × 31 |
993 | 3, 331 |
994 | 2, 7, 71 |
995 | 5, 199 |
996 | 22 × 3 × 83 |
997 | 997 |
998 | 2, 499 |
999 | 33 × 37 |
1000 | 23 × 53 |
1001 | 7, 11, 13 |
1002 | 2, 3, 167 |
1003 | 17, 59 |
1004 | 22 × 251 |
1005 | 3, 5, 67 |
1006 | 2, 503 |
1007 | 19, 53 |
1008 | 24 × 32 × 7 |
1009 | 1009 |
1010 | 2, 5, 101 |
FAQ
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See Also
- Prime factors of 980
- Prime factors of 981
- Prime factors of 983
- Prime factors of 985
- Prime factors of 987
- Prime factors of 988
- Prime factors of 989
- Prime factors of 990
- Prime factors of 991
- Prime factors of 993
- Prime factors of 997
- Prime factors of 998
- Prime factors of 999
- Prime factors of 1000
- Prime factors of 1001
- Prime factors of 1005
- Prime factors of 1010
- Prime factors of 1015
- Prime factors of 1020
- Prime factors of 1024
- Простые множители числа 996