A:
Positive:
1 x 2170806955 x 4341613913 x 1669851565 x 33397031231 x 1763452713 x 800156155 x 3526913565 x 16003
Negative:
-1 x -217080695-5 x -43416139-13 x -16698515-65 x -3339703-1231 x -176345-2713 x -80015-6155 x -35269-13565 x -16003
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 217,080,695, 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 | 217,080,695 | |
| -1 | -217,080,695 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 217,080,695.
Example:
1 x 217,080,695 = 217,080,695
and
-1 x -217,080,695 = 217,080,695
Notice both answers equal 217,080,695
With that explanation out of the way, let's continue. Next, we take the number 217,080,695 and divide it by 2:
217,080,695 ÷ 2 = 108,540,347.5
If the quotient is a whole number, then 2 and 108,540,347.5 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 | 217,080,695 | |
| -1 | -217,080,695 |
Now, we try dividing 217,080,695 by 3:
217,080,695 ÷ 3 = 72,360,231.6667
If the quotient is a whole number, then 3 and 72,360,231.6667 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 | 217,080,695 | |
| -1 | -217,080,695 |
Let's try dividing by 4:
217,080,695 ÷ 4 = 54,270,173.75
If the quotient is a whole number, then 4 and 54,270,173.75 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 | 217,080,695 | |
| -1 | 217,080,695 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 1,231 | 2,713 | 6,155 | 13,565 | 16,003 | 35,269 | 80,015 | 176,345 | 3,339,703 | 16,698,515 | 43,416,139 | 217,080,695 |
| -1 | -5 | -13 | -65 | -1,231 | -2,713 | -6,155 | -13,565 | -16,003 | -35,269 | -80,015 | -176,345 | -3,339,703 | -16,698,515 | -43,416,139 | -217,080,695 |
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