A:
Positive:
1 x 1251254055 x 2502508123 x 544023583 x 1507535115 x 1088047415 x 3015071909 x 655459545 x 13109
Negative:
-1 x -125125405-5 x -25025081-23 x -5440235-83 x -1507535-115 x -1088047-415 x -301507-1909 x -65545-9545 x -13109
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 125,125,405, 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 | 125,125,405 | |
| -1 | -125,125,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 125,125,405.
Example:
1 x 125,125,405 = 125,125,405
and
-1 x -125,125,405 = 125,125,405
Notice both answers equal 125,125,405
With that explanation out of the way, let's continue. Next, we take the number 125,125,405 and divide it by 2:
125,125,405 ÷ 2 = 62,562,702.5
If the quotient is a whole number, then 2 and 62,562,702.5 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 | 125,125,405 | |
| -1 | -125,125,405 |
Now, we try dividing 125,125,405 by 3:
125,125,405 ÷ 3 = 41,708,468.3333
If the quotient is a whole number, then 3 and 41,708,468.3333 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 | 125,125,405 | |
| -1 | -125,125,405 |
Let's try dividing by 4:
125,125,405 ÷ 4 = 31,281,351.25
If the quotient is a whole number, then 4 and 31,281,351.25 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 | 125,125,405 | |
| -1 | 125,125,405 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 83 | 115 | 415 | 1,909 | 9,545 | 13,109 | 65,545 | 301,507 | 1,088,047 | 1,507,535 | 5,440,235 | 25,025,081 | 125,125,405 |
| -1 | -5 | -23 | -83 | -115 | -415 | -1,909 | -9,545 | -13,109 | -65,545 | -301,507 | -1,088,047 | -1,507,535 | -5,440,235 | -25,025,081 | -125,125,405 |
Here are some more numbers to try:
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