A:
Positive:
1 x 1215441017 x 1736344317 x 714965343 x 2826607119 x 1021379301 x 403801731 x 1662715117 x 23753
Negative:
-1 x -121544101-7 x -17363443-17 x -7149653-43 x -2826607-119 x -1021379-301 x -403801-731 x -166271-5117 x -23753
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 121,544,101, 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 | 121,544,101 | |
| -1 | -121,544,101 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 121,544,101.
Example:
1 x 121,544,101 = 121,544,101
and
-1 x -121,544,101 = 121,544,101
Notice both answers equal 121,544,101
With that explanation out of the way, let's continue. Next, we take the number 121,544,101 and divide it by 2:
121,544,101 ÷ 2 = 60,772,050.5
If the quotient is a whole number, then 2 and 60,772,050.5 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 | 121,544,101 | |
| -1 | -121,544,101 |
Now, we try dividing 121,544,101 by 3:
121,544,101 ÷ 3 = 40,514,700.3333
If the quotient is a whole number, then 3 and 40,514,700.3333 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 | 121,544,101 | |
| -1 | -121,544,101 |
Let's try dividing by 4:
121,544,101 ÷ 4 = 30,386,025.25
If the quotient is a whole number, then 4 and 30,386,025.25 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 | 121,544,101 | |
| -1 | 121,544,101 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 43 | 119 | 301 | 731 | 5,117 | 23,753 | 166,271 | 403,801 | 1,021,379 | 2,826,607 | 7,149,653 | 17,363,443 | 121,544,101 |
| -1 | -7 | -17 | -43 | -119 | -301 | -731 | -5,117 | -23,753 | -166,271 | -403,801 | -1,021,379 | -2,826,607 | -7,149,653 | -17,363,443 | -121,544,101 |
Here are some more numbers to try:
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