A:
Positive:
1 x 2513560255 x 5027120525 x 1005424189 x 2824225173 x 1452925445 x 564845653 x 384925865 x 2905852225 x 1129693265 x 769854325 x 5811715397 x 16325
Negative:
-1 x -251356025-5 x -50271205-25 x -10054241-89 x -2824225-173 x -1452925-445 x -564845-653 x -384925-865 x -290585-2225 x -112969-3265 x -76985-4325 x -58117-15397 x -16325
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 251,356,025, 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 | 251,356,025 | |
| -1 | -251,356,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 251,356,025.
Example:
1 x 251,356,025 = 251,356,025
and
-1 x -251,356,025 = 251,356,025
Notice both answers equal 251,356,025
With that explanation out of the way, let's continue. Next, we take the number 251,356,025 and divide it by 2:
251,356,025 ÷ 2 = 125,678,012.5
If the quotient is a whole number, then 2 and 125,678,012.5 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 | 251,356,025 | |
| -1 | -251,356,025 |
Now, we try dividing 251,356,025 by 3:
251,356,025 ÷ 3 = 83,785,341.6667
If the quotient is a whole number, then 3 and 83,785,341.6667 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 | 251,356,025 | |
| -1 | -251,356,025 |
Let's try dividing by 4:
251,356,025 ÷ 4 = 62,839,006.25
If the quotient is a whole number, then 4 and 62,839,006.25 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 | 251,356,025 | |
| -1 | 251,356,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 89 | 173 | 445 | 653 | 865 | 2,225 | 3,265 | 4,325 | 15,397 | 16,325 | 58,117 | 76,985 | 112,969 | 290,585 | 384,925 | 564,845 | 1,452,925 | 2,824,225 | 10,054,241 | 50,271,205 | 251,356,025 |
| -1 | -5 | -25 | -89 | -173 | -445 | -653 | -865 | -2,225 | -3,265 | -4,325 | -15,397 | -16,325 | -58,117 | -76,985 | -112,969 | -290,585 | -384,925 | -564,845 | -1,452,925 | -2,824,225 | -10,054,241 | -50,271,205 | -251,356,025 |
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