A:
Positive:
1 x 21766150913 x 1674319331 x 7021339271 x 803179403 x 5401031993 x 1092133523 x 617838401 x 25909
Negative:
-1 x -217661509-13 x -16743193-31 x -7021339-271 x -803179-403 x -540103-1993 x -109213-3523 x -61783-8401 x -25909
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 217,661,509, 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 | 217,661,509 | |
| -1 | -217,661,509 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 217,661,509.
Example:
1 x 217,661,509 = 217,661,509
and
-1 x -217,661,509 = 217,661,509
Notice both answers equal 217,661,509
With that explanation out of the way, let's continue. Next, we take the number 217,661,509 and divide it by 2:
217,661,509 ÷ 2 = 108,830,754.5
If the quotient is a whole number, then 2 and 108,830,754.5 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 | 217,661,509 | |
| -1 | -217,661,509 |
Now, we try dividing 217,661,509 by 3:
217,661,509 ÷ 3 = 72,553,836.3333
If the quotient is a whole number, then 3 and 72,553,836.3333 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 | 217,661,509 | |
| -1 | -217,661,509 |
Let's try dividing by 4:
217,661,509 ÷ 4 = 54,415,377.25
If the quotient is a whole number, then 4 and 54,415,377.25 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 | 217,661,509 | |
| -1 | 217,661,509 |
If you did it right, you will end up with this table:
| 1 | 13 | 31 | 271 | 403 | 1,993 | 3,523 | 8,401 | 25,909 | 61,783 | 109,213 | 540,103 | 803,179 | 7,021,339 | 16,743,193 | 217,661,509 |
| -1 | -13 | -31 | -271 | -403 | -1,993 | -3,523 | -8,401 | -25,909 | -61,783 | -109,213 | -540,103 | -803,179 | -7,021,339 | -16,743,193 | -217,661,509 |
Here are some more numbers to try:
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