A:
Positive:
1 x 1312152055 x 2624304111 x 1192865555 x 2385731257 x 5105651285 x 1021132827 x 464159283 x 14135
Negative:
-1 x -131215205-5 x -26243041-11 x -11928655-55 x -2385731-257 x -510565-1285 x -102113-2827 x -46415-9283 x -14135
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 131,215,205, 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 | 131,215,205 | |
| -1 | -131,215,205 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 131,215,205.
Example:
1 x 131,215,205 = 131,215,205
and
-1 x -131,215,205 = 131,215,205
Notice both answers equal 131,215,205
With that explanation out of the way, let's continue. Next, we take the number 131,215,205 and divide it by 2:
131,215,205 ÷ 2 = 65,607,602.5
If the quotient is a whole number, then 2 and 65,607,602.5 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 | 131,215,205 | |
| -1 | -131,215,205 |
Now, we try dividing 131,215,205 by 3:
131,215,205 ÷ 3 = 43,738,401.6667
If the quotient is a whole number, then 3 and 43,738,401.6667 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 | 131,215,205 | |
| -1 | -131,215,205 |
Let's try dividing by 4:
131,215,205 ÷ 4 = 32,803,801.25
If the quotient is a whole number, then 4 and 32,803,801.25 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 | 131,215,205 | |
| -1 | 131,215,205 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 55 | 257 | 1,285 | 2,827 | 9,283 | 14,135 | 46,415 | 102,113 | 510,565 | 2,385,731 | 11,928,655 | 26,243,041 | 131,215,205 |
| -1 | -5 | -11 | -55 | -257 | -1,285 | -2,827 | -9,283 | -14,135 | -46,415 | -102,113 | -510,565 | -2,385,731 | -11,928,655 | -26,243,041 | -131,215,205 |
Here are some more numbers to try:
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