A:
Positive:
1 x 1013131217 x 1447330313 x 779331791 x 1113331181 x 5597411267 x 799632353 x 430576151 x 16471
Negative:
-1 x -101313121-7 x -14473303-13 x -7793317-91 x -1113331-181 x -559741-1267 x -79963-2353 x -43057-6151 x -16471
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 101,313,121, 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 | 101,313,121 | |
| -1 | -101,313,121 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,313,121.
Example:
1 x 101,313,121 = 101,313,121
and
-1 x -101,313,121 = 101,313,121
Notice both answers equal 101,313,121
With that explanation out of the way, let's continue. Next, we take the number 101,313,121 and divide it by 2:
101,313,121 ÷ 2 = 50,656,560.5
If the quotient is a whole number, then 2 and 50,656,560.5 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 | 101,313,121 | |
| -1 | -101,313,121 |
Now, we try dividing 101,313,121 by 3:
101,313,121 ÷ 3 = 33,771,040.3333
If the quotient is a whole number, then 3 and 33,771,040.3333 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 | 101,313,121 | |
| -1 | -101,313,121 |
Let's try dividing by 4:
101,313,121 ÷ 4 = 25,328,280.25
If the quotient is a whole number, then 4 and 25,328,280.25 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 | 101,313,121 | |
| -1 | 101,313,121 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 181 | 1,267 | 2,353 | 6,151 | 16,471 | 43,057 | 79,963 | 559,741 | 1,113,331 | 7,793,317 | 14,473,303 | 101,313,121 |
| -1 | -7 | -13 | -91 | -181 | -1,267 | -2,353 | -6,151 | -16,471 | -43,057 | -79,963 | -559,741 | -1,113,331 | -7,793,317 | -14,473,303 | -101,313,121 |
Here are some more numbers to try:
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