A:
Positive:
1 x 2261656677 x 3230938113 x 1739735991 x 2485337229 x 9876231603 x 1410892977 x 7597110853 x 20839
Negative:
-1 x -226165667-7 x -32309381-13 x -17397359-91 x -2485337-229 x -987623-1603 x -141089-2977 x -75971-10853 x -20839
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 226,165,667, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
| 1 | 226,165,667 | |
| -1 | -226,165,667 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 226,165,667.
Example:
1 x 226,165,667 = 226,165,667
and
-1 x -226,165,667 = 226,165,667
Notice both answers equal 226,165,667
With that explanation out of the way, let's continue. Next, we take the number 226,165,667 and divide it by 2:
226,165,667 ÷ 2 = 113,082,833.5
If the quotient is a whole number, then 2 and 113,082,833.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 226,165,667 | |
| -1 | -226,165,667 |
Now, we try dividing 226,165,667 by 3:
226,165,667 ÷ 3 = 75,388,555.6667
If the quotient is a whole number, then 3 and 75,388,555.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 226,165,667 | |
| -1 | -226,165,667 |
Let's try dividing by 4:
226,165,667 ÷ 4 = 56,541,416.75
If the quotient is a whole number, then 4 and 56,541,416.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 226,165,667 | |
| -1 | 226,165,667 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 229 | 1,603 | 2,977 | 10,853 | 20,839 | 75,971 | 141,089 | 987,623 | 2,485,337 | 17,397,359 | 32,309,381 | 226,165,667 |
| -1 | -7 | -13 | -91 | -229 | -1,603 | -2,977 | -10,853 | -20,839 | -75,971 | -141,089 | -987,623 | -2,485,337 | -17,397,359 | -32,309,381 | -226,165,667 |
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