A:
Positive:
1 x 2570201155 x 5140402311 x 2336546555 x 46730932089 x 1230352237 x 11489510445 x 2460711185 x 22979
Negative:
-1 x -257020115-5 x -51404023-11 x -23365465-55 x -4673093-2089 x -123035-2237 x -114895-10445 x -24607-11185 x -22979
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 257,020,115, 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 | 257,020,115 | |
| -1 | -257,020,115 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 257,020,115.
Example:
1 x 257,020,115 = 257,020,115
and
-1 x -257,020,115 = 257,020,115
Notice both answers equal 257,020,115
With that explanation out of the way, let's continue. Next, we take the number 257,020,115 and divide it by 2:
257,020,115 ÷ 2 = 128,510,057.5
If the quotient is a whole number, then 2 and 128,510,057.5 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 | 257,020,115 | |
| -1 | -257,020,115 |
Now, we try dividing 257,020,115 by 3:
257,020,115 ÷ 3 = 85,673,371.6667
If the quotient is a whole number, then 3 and 85,673,371.6667 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 | 257,020,115 | |
| -1 | -257,020,115 |
Let's try dividing by 4:
257,020,115 ÷ 4 = 64,255,028.75
If the quotient is a whole number, then 4 and 64,255,028.75 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 | 257,020,115 | |
| -1 | 257,020,115 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 55 | 2,089 | 2,237 | 10,445 | 11,185 | 22,979 | 24,607 | 114,895 | 123,035 | 4,673,093 | 23,365,465 | 51,404,023 | 257,020,115 |
| -1 | -5 | -11 | -55 | -2,089 | -2,237 | -10,445 | -11,185 | -22,979 | -24,607 | -114,895 | -123,035 | -4,673,093 | -23,365,465 | -51,404,023 | -257,020,115 |
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