A:
Positive:
1 x 8202032097 x 11717188749 x 16738841211 x 3887219343 x 23912631477 x 5553171619 x 5066112401 x 34160910339 x 7933111333 x 72373
Negative:
-1 x -820203209-7 x -117171887-49 x -16738841-211 x -3887219-343 x -2391263-1477 x -555317-1619 x -506611-2401 x -341609-10339 x -79331-11333 x -72373
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 820,203,209, 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 | 820,203,209 | |
| -1 | -820,203,209 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 820,203,209.
Example:
1 x 820,203,209 = 820,203,209
and
-1 x -820,203,209 = 820,203,209
Notice both answers equal 820,203,209
With that explanation out of the way, let's continue. Next, we take the number 820,203,209 and divide it by 2:
820,203,209 ÷ 2 = 410,101,604.5
If the quotient is a whole number, then 2 and 410,101,604.5 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 | 820,203,209 | |
| -1 | -820,203,209 |
Now, we try dividing 820,203,209 by 3:
820,203,209 ÷ 3 = 273,401,069.6667
If the quotient is a whole number, then 3 and 273,401,069.6667 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 | 820,203,209 | |
| -1 | -820,203,209 |
Let's try dividing by 4:
820,203,209 ÷ 4 = 205,050,802.25
If the quotient is a whole number, then 4 and 205,050,802.25 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 | 820,203,209 | |
| -1 | 820,203,209 |
If you did it right, you will end up with this table:
| 1 | 7 | 49 | 211 | 343 | 1,477 | 1,619 | 2,401 | 10,339 | 11,333 | 72,373 | 79,331 | 341,609 | 506,611 | 555,317 | 2,391,263 | 3,887,219 | 16,738,841 | 117,171,887 | 820,203,209 |
| -1 | -7 | -49 | -211 | -343 | -1,477 | -1,619 | -2,401 | -10,339 | -11,333 | -72,373 | -79,331 | -341,609 | -506,611 | -555,317 | -2,391,263 | -3,887,219 | -16,738,841 | -117,171,887 | -820,203,209 |
Here are some more numbers to try:
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