A:
Positive:
1 x 1051501255 x 2103002525 x 4206005103 x 1020875125 x 841201515 x 2041752575 x 408358167 x 12875
Negative:
-1 x -105150125-5 x -21030025-25 x -4206005-103 x -1020875-125 x -841201-515 x -204175-2575 x -40835-8167 x -12875
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 105,150,125, 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 | 105,150,125 | |
| -1 | -105,150,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,150,125.
Example:
1 x 105,150,125 = 105,150,125
and
-1 x -105,150,125 = 105,150,125
Notice both answers equal 105,150,125
With that explanation out of the way, let's continue. Next, we take the number 105,150,125 and divide it by 2:
105,150,125 ÷ 2 = 52,575,062.5
If the quotient is a whole number, then 2 and 52,575,062.5 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 | 105,150,125 | |
| -1 | -105,150,125 |
Now, we try dividing 105,150,125 by 3:
105,150,125 ÷ 3 = 35,050,041.6667
If the quotient is a whole number, then 3 and 35,050,041.6667 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 | 105,150,125 | |
| -1 | -105,150,125 |
Let's try dividing by 4:
105,150,125 ÷ 4 = 26,287,531.25
If the quotient is a whole number, then 4 and 26,287,531.25 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 | 105,150,125 | |
| -1 | 105,150,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 103 | 125 | 515 | 2,575 | 8,167 | 12,875 | 40,835 | 204,175 | 841,201 | 1,020,875 | 4,206,005 | 21,030,025 | 105,150,125 |
| -1 | -5 | -25 | -103 | -125 | -515 | -2,575 | -8,167 | -12,875 | -40,835 | -204,175 | -841,201 | -1,020,875 | -4,206,005 | -21,030,025 | -105,150,125 |
Here are some more numbers to try:
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