Prime Factorization of 990
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What is the Prime Factorization of 990?
or
Explanation of number 990 Prime Factorization
Prime Factorization of 990 it is expressing 990 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 990.
Since number 990 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 990, we have to iteratively divide 990 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 990:
The smallest Prime Number which can divide 990 without a remainder is 2. So the first calculation step would look like:
990 ÷ 2 = 495
Now we repeat this action until the result equals 1:
495 ÷ 3 = 165
165 ÷ 3 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1
Now we have all the Prime Factors for number 990. It is: 2, 3, 3, 5, 11
Or you may also write it in exponential form: 2 × 32 × 5 × 11
Prime Factor Tree of 990
We may also express the prime factorization of 990 as a Factor Tree:
Related Calculations
See Also
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Is number a Prime - Find out whether a given number is Prime or not
- Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between
About "Prime Factorization" Calculator
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 |
---|---|
975 | 3 × 52 × 13 |
976 | 24 × 61 |
977 | 977 |
978 | 2, 3, 163 |
979 | 11, 89 |
980 | 22 × 5 × 72 |
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 |
FAQ
What is the Prime Factorization of 990?
How many prime factors does 990 have?
What is the Prime Factorization of 990 in exponential form?
See Also
- Prime factors of 975
- Prime factors of 976
- Prime factors of 977
- 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 991
- Prime factors of 993
- Prime factors of 996
- 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
- Простые множители числа 990