A:
Positive:
1 x 1111230255 x 2222460513 x 854792525 x 444492137 x 300332565 x 1709585185 x 600665325 x 341917481 x 231025925 x 1201332405 x 462059241 x 12025
Negative:
-1 x -111123025-5 x -22224605-13 x -8547925-25 x -4444921-37 x -3003325-65 x -1709585-185 x -600665-325 x -341917-481 x -231025-925 x -120133-2405 x -46205-9241 x -12025
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 111,123,025, 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 | 111,123,025 | |
| -1 | -111,123,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 111,123,025.
Example:
1 x 111,123,025 = 111,123,025
and
-1 x -111,123,025 = 111,123,025
Notice both answers equal 111,123,025
With that explanation out of the way, let's continue. Next, we take the number 111,123,025 and divide it by 2:
111,123,025 ÷ 2 = 55,561,512.5
If the quotient is a whole number, then 2 and 55,561,512.5 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 | 111,123,025 | |
| -1 | -111,123,025 |
Now, we try dividing 111,123,025 by 3:
111,123,025 ÷ 3 = 37,041,008.3333
If the quotient is a whole number, then 3 and 37,041,008.3333 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 | 111,123,025 | |
| -1 | -111,123,025 |
Let's try dividing by 4:
111,123,025 ÷ 4 = 27,780,756.25
If the quotient is a whole number, then 4 and 27,780,756.25 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 | 111,123,025 | |
| -1 | 111,123,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 37 | 65 | 185 | 325 | 481 | 925 | 2,405 | 9,241 | 12,025 | 46,205 | 120,133 | 231,025 | 341,917 | 600,665 | 1,709,585 | 3,003,325 | 4,444,921 | 8,547,925 | 22,224,605 | 111,123,025 |
| -1 | -5 | -13 | -25 | -37 | -65 | -185 | -325 | -481 | -925 | -2,405 | -9,241 | -12,025 | -46,205 | -120,133 | -231,025 | -341,917 | -600,665 | -1,709,585 | -3,003,325 | -4,444,921 | -8,547,925 | -22,224,605 | -111,123,025 |
Here are some more numbers to try:
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