Prime Factorization of 987
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What is the Prime Factorization of 987?
Explanation of number 987 Prime Factorization
Prime Factorization of 987 it is expressing 987 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 987.
Since number 987 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 987, we have to iteratively divide 987 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 987:
The smallest Prime Number which can divide 987 without a remainder is 3. So the first calculation step would look like:
987 ÷ 3 = 329
Now we repeat this action until the result equals 1:
329 ÷ 7 = 47
47 ÷ 47 = 1
Now we have all the Prime Factors for number 987. It is: 3, 7, 47
Prime Factor Tree of 987
We may also express the prime factorization of 987 as a Factor Tree:
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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 |
|---|---|
| 972 | 22 × 35 |
| 973 | 7, 139 |
| 974 | 2, 487 |
| 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 |
FAQ
What is the Prime Factorization of 987?
How many prime factors does 987 have?
See Also
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- Prime factors of 983
- Prime factors of 985
- Prime factors of 988
- Prime factors of 989
- Prime factors of 990
- 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
- Простые множители числа 987