A:
Positive:
1 x 8173205817 x 11676008311 x 7430187177 x 10614553359 x 22766592513 x 3252373949 x 20696927643 x 29567
Negative:
-1 x -817320581-7 x -116760083-11 x -74301871-77 x -10614553-359 x -2276659-2513 x -325237-3949 x -206969-27643 x -29567
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 817,320,581, 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 | 817,320,581 | |
| -1 | -817,320,581 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 817,320,581.
Example:
1 x 817,320,581 = 817,320,581
and
-1 x -817,320,581 = 817,320,581
Notice both answers equal 817,320,581
With that explanation out of the way, let's continue. Next, we take the number 817,320,581 and divide it by 2:
817,320,581 ÷ 2 = 408,660,290.5
If the quotient is a whole number, then 2 and 408,660,290.5 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 | 817,320,581 | |
| -1 | -817,320,581 |
Now, we try dividing 817,320,581 by 3:
817,320,581 ÷ 3 = 272,440,193.6667
If the quotient is a whole number, then 3 and 272,440,193.6667 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 | 817,320,581 | |
| -1 | -817,320,581 |
Let's try dividing by 4:
817,320,581 ÷ 4 = 204,330,145.25
If the quotient is a whole number, then 4 and 204,330,145.25 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 | 817,320,581 | |
| -1 | 817,320,581 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 359 | 2,513 | 3,949 | 27,643 | 29,567 | 206,969 | 325,237 | 2,276,659 | 10,614,553 | 74,301,871 | 116,760,083 | 817,320,581 |
| -1 | -7 | -11 | -77 | -359 | -2,513 | -3,949 | -27,643 | -29,567 | -206,969 | -325,237 | -2,276,659 | -10,614,553 | -74,301,871 | -116,760,083 | -817,320,581 |
Here are some more numbers to try:
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