A:
Positive:
1 x 2221064097 x 3172948719 x 11689811133 x 16699731063 x 2089431571 x 1413797441 x 2984910997 x 20197
Negative:
-1 x -222106409-7 x -31729487-19 x -11689811-133 x -1669973-1063 x -208943-1571 x -141379-7441 x -29849-10997 x -20197
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 222,106,409, 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 | 222,106,409 | |
| -1 | -222,106,409 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 222,106,409.
Example:
1 x 222,106,409 = 222,106,409
and
-1 x -222,106,409 = 222,106,409
Notice both answers equal 222,106,409
With that explanation out of the way, let's continue. Next, we take the number 222,106,409 and divide it by 2:
222,106,409 ÷ 2 = 111,053,204.5
If the quotient is a whole number, then 2 and 111,053,204.5 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 | 222,106,409 | |
| -1 | -222,106,409 |
Now, we try dividing 222,106,409 by 3:
222,106,409 ÷ 3 = 74,035,469.6667
If the quotient is a whole number, then 3 and 74,035,469.6667 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 | 222,106,409 | |
| -1 | -222,106,409 |
Let's try dividing by 4:
222,106,409 ÷ 4 = 55,526,602.25
If the quotient is a whole number, then 4 and 55,526,602.25 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 | 222,106,409 | |
| -1 | 222,106,409 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 133 | 1,063 | 1,571 | 7,441 | 10,997 | 20,197 | 29,849 | 141,379 | 208,943 | 1,669,973 | 11,689,811 | 31,729,487 | 222,106,409 |
| -1 | -7 | -19 | -133 | -1,063 | -1,571 | -7,441 | -10,997 | -20,197 | -29,849 | -141,379 | -208,943 | -1,669,973 | -11,689,811 | -31,729,487 | -222,106,409 |
Here are some more numbers to try:
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