A:
Positive:
1 x 22142030911 x 20129119127 x 1743467353 x 627253449 x 4931411397 x 1584973883 x 570234939 x 44831
Negative:
-1 x -221420309-11 x -20129119-127 x -1743467-353 x -627253-449 x -493141-1397 x -158497-3883 x -57023-4939 x -44831
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 221,420,309, 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 | 221,420,309 | |
| -1 | -221,420,309 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 221,420,309.
Example:
1 x 221,420,309 = 221,420,309
and
-1 x -221,420,309 = 221,420,309
Notice both answers equal 221,420,309
With that explanation out of the way, let's continue. Next, we take the number 221,420,309 and divide it by 2:
221,420,309 ÷ 2 = 110,710,154.5
If the quotient is a whole number, then 2 and 110,710,154.5 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 | 221,420,309 | |
| -1 | -221,420,309 |
Now, we try dividing 221,420,309 by 3:
221,420,309 ÷ 3 = 73,806,769.6667
If the quotient is a whole number, then 3 and 73,806,769.6667 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 | 221,420,309 | |
| -1 | -221,420,309 |
Let's try dividing by 4:
221,420,309 ÷ 4 = 55,355,077.25
If the quotient is a whole number, then 4 and 55,355,077.25 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 | 221,420,309 | |
| -1 | 221,420,309 |
If you did it right, you will end up with this table:
| 1 | 11 | 127 | 353 | 449 | 1,397 | 3,883 | 4,939 | 44,831 | 57,023 | 158,497 | 493,141 | 627,253 | 1,743,467 | 20,129,119 | 221,420,309 |
| -1 | -11 | -127 | -353 | -449 | -1,397 | -3,883 | -4,939 | -44,831 | -57,023 | -158,497 | -493,141 | -627,253 | -1,743,467 | -20,129,119 | -221,420,309 |
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