A:
Positive:
1 x 12213132113 x 9394717101 x 1209221191 x 639431487 x 2507831313 x 930172483 x 491876331 x 19291
Negative:
-1 x -122131321-13 x -9394717-101 x -1209221-191 x -639431-487 x -250783-1313 x -93017-2483 x -49187-6331 x -19291
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 122,131,321, 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 | 122,131,321 | |
| -1 | -122,131,321 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 122,131,321.
Example:
1 x 122,131,321 = 122,131,321
and
-1 x -122,131,321 = 122,131,321
Notice both answers equal 122,131,321
With that explanation out of the way, let's continue. Next, we take the number 122,131,321 and divide it by 2:
122,131,321 ÷ 2 = 61,065,660.5
If the quotient is a whole number, then 2 and 61,065,660.5 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 | 122,131,321 | |
| -1 | -122,131,321 |
Now, we try dividing 122,131,321 by 3:
122,131,321 ÷ 3 = 40,710,440.3333
If the quotient is a whole number, then 3 and 40,710,440.3333 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 | 122,131,321 | |
| -1 | -122,131,321 |
Let's try dividing by 4:
122,131,321 ÷ 4 = 30,532,830.25
If the quotient is a whole number, then 4 and 30,532,830.25 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 | 122,131,321 | |
| -1 | 122,131,321 |
If you did it right, you will end up with this table:
| 1 | 13 | 101 | 191 | 487 | 1,313 | 2,483 | 6,331 | 19,291 | 49,187 | 93,017 | 250,783 | 639,431 | 1,209,221 | 9,394,717 | 122,131,321 |
| -1 | -13 | -101 | -191 | -487 | -1,313 | -2,483 | -6,331 | -19,291 | -49,187 | -93,017 | -250,783 | -639,431 | -1,209,221 | -9,394,717 | -122,131,321 |
Here are some more numbers to try:
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