A:
Positive:
1 x 2164240255 x 4328480517 x 1273082525 x 865696185 x 2546165241 x 898025425 x 5092331205 x 1796052113 x 1024254097 x 528256025 x 3592110565 x 20485
Negative:
-1 x -216424025-5 x -43284805-17 x -12730825-25 x -8656961-85 x -2546165-241 x -898025-425 x -509233-1205 x -179605-2113 x -102425-4097 x -52825-6025 x -35921-10565 x -20485
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 216,424,025, 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 | 216,424,025 | |
| -1 | -216,424,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 216,424,025.
Example:
1 x 216,424,025 = 216,424,025
and
-1 x -216,424,025 = 216,424,025
Notice both answers equal 216,424,025
With that explanation out of the way, let's continue. Next, we take the number 216,424,025 and divide it by 2:
216,424,025 ÷ 2 = 108,212,012.5
If the quotient is a whole number, then 2 and 108,212,012.5 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 | 216,424,025 | |
| -1 | -216,424,025 |
Now, we try dividing 216,424,025 by 3:
216,424,025 ÷ 3 = 72,141,341.6667
If the quotient is a whole number, then 3 and 72,141,341.6667 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 | 216,424,025 | |
| -1 | -216,424,025 |
Let's try dividing by 4:
216,424,025 ÷ 4 = 54,106,006.25
If the quotient is a whole number, then 4 and 54,106,006.25 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 | 216,424,025 | |
| -1 | 216,424,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 25 | 85 | 241 | 425 | 1,205 | 2,113 | 4,097 | 6,025 | 10,565 | 20,485 | 35,921 | 52,825 | 102,425 | 179,605 | 509,233 | 898,025 | 2,546,165 | 8,656,961 | 12,730,825 | 43,284,805 | 216,424,025 |
| -1 | -5 | -17 | -25 | -85 | -241 | -425 | -1,205 | -2,113 | -4,097 | -6,025 | -10,565 | -20,485 | -35,921 | -52,825 | -102,425 | -179,605 | -509,233 | -898,025 | -2,546,165 | -8,656,961 | -12,730,825 | -43,284,805 | -216,424,025 |
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