A:
Positive:
1 x 82217527323 x 3574675131 x 2652178353 x 15512741713 x 11531211219 x 6744671643 x 50041121757 x 37789
Negative:
-1 x -822175273-23 x -35746751-31 x -26521783-53 x -15512741-713 x -1153121-1219 x -674467-1643 x -500411-21757 x -37789
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 822,175,273, 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 | 822,175,273 | |
| -1 | -822,175,273 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 822,175,273.
Example:
1 x 822,175,273 = 822,175,273
and
-1 x -822,175,273 = 822,175,273
Notice both answers equal 822,175,273
With that explanation out of the way, let's continue. Next, we take the number 822,175,273 and divide it by 2:
822,175,273 ÷ 2 = 411,087,636.5
If the quotient is a whole number, then 2 and 411,087,636.5 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 | 822,175,273 | |
| -1 | -822,175,273 |
Now, we try dividing 822,175,273 by 3:
822,175,273 ÷ 3 = 274,058,424.3333
If the quotient is a whole number, then 3 and 274,058,424.3333 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 | 822,175,273 | |
| -1 | -822,175,273 |
Let's try dividing by 4:
822,175,273 ÷ 4 = 205,543,818.25
If the quotient is a whole number, then 4 and 205,543,818.25 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 | 822,175,273 | |
| -1 | 822,175,273 |
If you did it right, you will end up with this table:
| 1 | 23 | 31 | 53 | 713 | 1,219 | 1,643 | 21,757 | 37,789 | 500,411 | 674,467 | 1,153,121 | 15,512,741 | 26,521,783 | 35,746,751 | 822,175,273 |
| -1 | -23 | -31 | -53 | -713 | -1,219 | -1,643 | -21,757 | -37,789 | -500,411 | -674,467 | -1,153,121 | -15,512,741 | -26,521,783 | -35,746,751 | -822,175,273 |
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