A:
Positive:
1 x 1314374055 x 2628748111 x 1194885555 x 2389771251 x 5236551255 x 1047312761 x 476059521 x 13805
Negative:
-1 x -131437405-5 x -26287481-11 x -11948855-55 x -2389771-251 x -523655-1255 x -104731-2761 x -47605-9521 x -13805
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 131,437,405, 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 | 131,437,405 | |
| -1 | -131,437,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 131,437,405.
Example:
1 x 131,437,405 = 131,437,405
and
-1 x -131,437,405 = 131,437,405
Notice both answers equal 131,437,405
With that explanation out of the way, let's continue. Next, we take the number 131,437,405 and divide it by 2:
131,437,405 ÷ 2 = 65,718,702.5
If the quotient is a whole number, then 2 and 65,718,702.5 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 | 131,437,405 | |
| -1 | -131,437,405 |
Now, we try dividing 131,437,405 by 3:
131,437,405 ÷ 3 = 43,812,468.3333
If the quotient is a whole number, then 3 and 43,812,468.3333 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 | 131,437,405 | |
| -1 | -131,437,405 |
Let's try dividing by 4:
131,437,405 ÷ 4 = 32,859,351.25
If the quotient is a whole number, then 4 and 32,859,351.25 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 | 131,437,405 | |
| -1 | 131,437,405 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 55 | 251 | 1,255 | 2,761 | 9,521 | 13,805 | 47,605 | 104,731 | 523,655 | 2,389,771 | 11,948,855 | 26,287,481 | 131,437,405 |
| -1 | -5 | -11 | -55 | -251 | -1,255 | -2,761 | -9,521 | -13,805 | -47,605 | -104,731 | -523,655 | -2,389,771 | -11,948,855 | -26,287,481 | -131,437,405 |
Here are some more numbers to try:
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