A:
Positive:
1 x 4051251255 x 8102502519 x 2132237525 x 1620500595 x 4264475125 x 3241001475 x 8528952375 x 170579
Negative:
-1 x -405125125-5 x -81025025-19 x -21322375-25 x -16205005-95 x -4264475-125 x -3241001-475 x -852895-2375 x -170579
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 405,125,125, 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 | 405,125,125 | |
| -1 | -405,125,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 405,125,125.
Example:
1 x 405,125,125 = 405,125,125
and
-1 x -405,125,125 = 405,125,125
Notice both answers equal 405,125,125
With that explanation out of the way, let's continue. Next, we take the number 405,125,125 and divide it by 2:
405,125,125 ÷ 2 = 202,562,562.5
If the quotient is a whole number, then 2 and 202,562,562.5 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 | 405,125,125 | |
| -1 | -405,125,125 |
Now, we try dividing 405,125,125 by 3:
405,125,125 ÷ 3 = 135,041,708.3333
If the quotient is a whole number, then 3 and 135,041,708.3333 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 | 405,125,125 | |
| -1 | -405,125,125 |
Let's try dividing by 4:
405,125,125 ÷ 4 = 101,281,281.25
If the quotient is a whole number, then 4 and 101,281,281.25 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 | 405,125,125 | |
| -1 | 405,125,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 19 | 25 | 95 | 125 | 475 | 2,375 | 170,579 | 852,895 | 3,241,001 | 4,264,475 | 16,205,005 | 21,322,375 | 81,025,025 | 405,125,125 |
| -1 | -5 | -19 | -25 | -95 | -125 | -475 | -2,375 | -170,579 | -852,895 | -3,241,001 | -4,264,475 | -16,205,005 | -21,322,375 | -81,025,025 | -405,125,125 |
Here are some more numbers to try:
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