A:
Positive:
1 x 1325414097 x 1893448711 x 1204921913 x 1019549377 x 172131791 x 1456499143 x 9268631001 x 132409
Negative:
-1 x -132541409-7 x -18934487-11 x -12049219-13 x -10195493-77 x -1721317-91 x -1456499-143 x -926863-1001 x -132409
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 132,541,409, 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 | 132,541,409 | |
| -1 | -132,541,409 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 132,541,409.
Example:
1 x 132,541,409 = 132,541,409
and
-1 x -132,541,409 = 132,541,409
Notice both answers equal 132,541,409
With that explanation out of the way, let's continue. Next, we take the number 132,541,409 and divide it by 2:
132,541,409 ÷ 2 = 66,270,704.5
If the quotient is a whole number, then 2 and 66,270,704.5 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 | 132,541,409 | |
| -1 | -132,541,409 |
Now, we try dividing 132,541,409 by 3:
132,541,409 ÷ 3 = 44,180,469.6667
If the quotient is a whole number, then 3 and 44,180,469.6667 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 | 132,541,409 | |
| -1 | -132,541,409 |
Let's try dividing by 4:
132,541,409 ÷ 4 = 33,135,352.25
If the quotient is a whole number, then 4 and 33,135,352.25 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 | 132,541,409 | |
| -1 | 132,541,409 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 13 | 77 | 91 | 143 | 1,001 | 132,409 | 926,863 | 1,456,499 | 1,721,317 | 10,195,493 | 12,049,219 | 18,934,487 | 132,541,409 |
| -1 | -7 | -11 | -13 | -77 | -91 | -143 | -1,001 | -132,409 | -926,863 | -1,456,499 | -1,721,317 | -10,195,493 | -12,049,219 | -18,934,487 | -132,541,409 |
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