A:
Positive:
1 x 1081270255 x 2162540523 x 470117525 x 432508147 x 2300575115 x 940235235 x 460115575 x 1880471081 x 1000251175 x 920234001 x 270255405 x 20005
Negative:
-1 x -108127025-5 x -21625405-23 x -4701175-25 x -4325081-47 x -2300575-115 x -940235-235 x -460115-575 x -188047-1081 x -100025-1175 x -92023-4001 x -27025-5405 x -20005
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 108,127,025, 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 | 108,127,025 | |
| -1 | -108,127,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 108,127,025.
Example:
1 x 108,127,025 = 108,127,025
and
-1 x -108,127,025 = 108,127,025
Notice both answers equal 108,127,025
With that explanation out of the way, let's continue. Next, we take the number 108,127,025 and divide it by 2:
108,127,025 ÷ 2 = 54,063,512.5
If the quotient is a whole number, then 2 and 54,063,512.5 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 | 108,127,025 | |
| -1 | -108,127,025 |
Now, we try dividing 108,127,025 by 3:
108,127,025 ÷ 3 = 36,042,341.6667
If the quotient is a whole number, then 3 and 36,042,341.6667 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 | 108,127,025 | |
| -1 | -108,127,025 |
Let's try dividing by 4:
108,127,025 ÷ 4 = 27,031,756.25
If the quotient is a whole number, then 4 and 27,031,756.25 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 | 108,127,025 | |
| -1 | 108,127,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 25 | 47 | 115 | 235 | 575 | 1,081 | 1,175 | 4,001 | 5,405 | 20,005 | 27,025 | 92,023 | 100,025 | 188,047 | 460,115 | 940,235 | 2,300,575 | 4,325,081 | 4,701,175 | 21,625,405 | 108,127,025 |
| -1 | -5 | -23 | -25 | -47 | -115 | -235 | -575 | -1,081 | -1,175 | -4,001 | -5,405 | -20,005 | -27,025 | -92,023 | -100,025 | -188,047 | -460,115 | -940,235 | -2,300,575 | -4,325,081 | -4,701,175 | -21,625,405 | -108,127,025 |
Here are some more numbers to try:
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