A:
Positive:
1 x 1310262055 x 2620524129 x 451814567 x 1955615145 x 903629335 x 3911231943 x 674359715 x 13487
Negative:
-1 x -131026205-5 x -26205241-29 x -4518145-67 x -1955615-145 x -903629-335 x -391123-1943 x -67435-9715 x -13487
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 131,026,205, 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 | 131,026,205 | |
| -1 | -131,026,205 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 131,026,205.
Example:
1 x 131,026,205 = 131,026,205
and
-1 x -131,026,205 = 131,026,205
Notice both answers equal 131,026,205
With that explanation out of the way, let's continue. Next, we take the number 131,026,205 and divide it by 2:
131,026,205 ÷ 2 = 65,513,102.5
If the quotient is a whole number, then 2 and 65,513,102.5 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 | 131,026,205 | |
| -1 | -131,026,205 |
Now, we try dividing 131,026,205 by 3:
131,026,205 ÷ 3 = 43,675,401.6667
If the quotient is a whole number, then 3 and 43,675,401.6667 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 | 131,026,205 | |
| -1 | -131,026,205 |
Let's try dividing by 4:
131,026,205 ÷ 4 = 32,756,551.25
If the quotient is a whole number, then 4 and 32,756,551.25 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 | 131,026,205 | |
| -1 | 131,026,205 |
If you did it right, you will end up with this table:
| 1 | 5 | 29 | 67 | 145 | 335 | 1,943 | 9,715 | 13,487 | 67,435 | 391,123 | 903,629 | 1,955,615 | 4,518,145 | 26,205,241 | 131,026,205 |
| -1 | -5 | -29 | -67 | -145 | -335 | -1,943 | -9,715 | -13,487 | -67,435 | -391,123 | -903,629 | -1,955,615 | -4,518,145 | -26,205,241 | -131,026,205 |
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