A:
Positive:
1 x 1312022537 x 1874317913 x 1009248149 x 267759759 x 222376791 x 1441783413 x 317681637 x 205969767 x 1710592891 x 453833491 x 375835369 x 24437
Negative:
-1 x -131202253-7 x -18743179-13 x -10092481-49 x -2677597-59 x -2223767-91 x -1441783-413 x -317681-637 x -205969-767 x -171059-2891 x -45383-3491 x -37583-5369 x -24437
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 131,202,253, 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 | 131,202,253 | |
| -1 | -131,202,253 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 131,202,253.
Example:
1 x 131,202,253 = 131,202,253
and
-1 x -131,202,253 = 131,202,253
Notice both answers equal 131,202,253
With that explanation out of the way, let's continue. Next, we take the number 131,202,253 and divide it by 2:
131,202,253 ÷ 2 = 65,601,126.5
If the quotient is a whole number, then 2 and 65,601,126.5 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 | 131,202,253 | |
| -1 | -131,202,253 |
Now, we try dividing 131,202,253 by 3:
131,202,253 ÷ 3 = 43,734,084.3333
If the quotient is a whole number, then 3 and 43,734,084.3333 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 | 131,202,253 | |
| -1 | -131,202,253 |
Let's try dividing by 4:
131,202,253 ÷ 4 = 32,800,563.25
If the quotient is a whole number, then 4 and 32,800,563.25 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 | 131,202,253 | |
| -1 | 131,202,253 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 49 | 59 | 91 | 413 | 637 | 767 | 2,891 | 3,491 | 5,369 | 24,437 | 37,583 | 45,383 | 171,059 | 205,969 | 317,681 | 1,441,783 | 2,223,767 | 2,677,597 | 10,092,481 | 18,743,179 | 131,202,253 |
| -1 | -7 | -13 | -49 | -59 | -91 | -413 | -637 | -767 | -2,891 | -3,491 | -5,369 | -24,437 | -37,583 | -45,383 | -171,059 | -205,969 | -317,681 | -1,441,783 | -2,223,767 | -2,677,597 | -10,092,481 | -18,743,179 | -131,202,253 |
Here are some more numbers to try:
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