A:
Positive:
1 x 2736171255 x 5472342517 x 1609512525 x 1094468585 x 3219025125 x 2188937425 x 6438052125 x 128761
Negative:
-1 x -273617125-5 x -54723425-17 x -16095125-25 x -10944685-85 x -3219025-125 x -2188937-425 x -643805-2125 x -128761
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 273,617,125, 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 | 273,617,125 | |
| -1 | -273,617,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 273,617,125.
Example:
1 x 273,617,125 = 273,617,125
and
-1 x -273,617,125 = 273,617,125
Notice both answers equal 273,617,125
With that explanation out of the way, let's continue. Next, we take the number 273,617,125 and divide it by 2:
273,617,125 ÷ 2 = 136,808,562.5
If the quotient is a whole number, then 2 and 136,808,562.5 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 | 273,617,125 | |
| -1 | -273,617,125 |
Now, we try dividing 273,617,125 by 3:
273,617,125 ÷ 3 = 91,205,708.3333
If the quotient is a whole number, then 3 and 91,205,708.3333 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 | 273,617,125 | |
| -1 | -273,617,125 |
Let's try dividing by 4:
273,617,125 ÷ 4 = 68,404,281.25
If the quotient is a whole number, then 4 and 68,404,281.25 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 | 273,617,125 | |
| -1 | 273,617,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 25 | 85 | 125 | 425 | 2,125 | 128,761 | 643,805 | 2,188,937 | 3,219,025 | 10,944,685 | 16,095,125 | 54,723,425 | 273,617,125 |
| -1 | -5 | -17 | -25 | -85 | -125 | -425 | -2,125 | -128,761 | -643,805 | -2,188,937 | -3,219,025 | -10,944,685 | -16,095,125 | -54,723,425 | -273,617,125 |
Here are some more numbers to try:
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