A:
Positive:
1 x 12210010317 x 718235931 x 3938713443 x 275621523 x 233461527 x 2316897531 x 162138891 x 13733
Negative:
-1 x -122100103-17 x -7182359-31 x -3938713-443 x -275621-523 x -233461-527 x -231689-7531 x -16213-8891 x -13733
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 122,100,103, 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 | 122,100,103 | |
| -1 | -122,100,103 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 122,100,103.
Example:
1 x 122,100,103 = 122,100,103
and
-1 x -122,100,103 = 122,100,103
Notice both answers equal 122,100,103
With that explanation out of the way, let's continue. Next, we take the number 122,100,103 and divide it by 2:
122,100,103 ÷ 2 = 61,050,051.5
If the quotient is a whole number, then 2 and 61,050,051.5 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 | 122,100,103 | |
| -1 | -122,100,103 |
Now, we try dividing 122,100,103 by 3:
122,100,103 ÷ 3 = 40,700,034.3333
If the quotient is a whole number, then 3 and 40,700,034.3333 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 | 122,100,103 | |
| -1 | -122,100,103 |
Let's try dividing by 4:
122,100,103 ÷ 4 = 30,525,025.75
If the quotient is a whole number, then 4 and 30,525,025.75 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 | 122,100,103 | |
| -1 | 122,100,103 |
If you did it right, you will end up with this table:
| 1 | 17 | 31 | 443 | 523 | 527 | 7,531 | 8,891 | 13,733 | 16,213 | 231,689 | 233,461 | 275,621 | 3,938,713 | 7,182,359 | 122,100,103 |
| -1 | -17 | -31 | -443 | -523 | -527 | -7,531 | -8,891 | -13,733 | -16,213 | -231,689 | -233,461 | -275,621 | -3,938,713 | -7,182,359 | -122,100,103 |
Here are some more numbers to try:
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