A:
Positive:
1 x 27863502711 x 2533045771 x 3924437197 x 1414391781 x 3567671811 x 1538572167 x 12858113987 x 19921
Negative:
-1 x -278635027-11 x -25330457-71 x -3924437-197 x -1414391-781 x -356767-1811 x -153857-2167 x -128581-13987 x -19921
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 278,635,027, 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 | 278,635,027 | |
| -1 | -278,635,027 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 278,635,027.
Example:
1 x 278,635,027 = 278,635,027
and
-1 x -278,635,027 = 278,635,027
Notice both answers equal 278,635,027
With that explanation out of the way, let's continue. Next, we take the number 278,635,027 and divide it by 2:
278,635,027 ÷ 2 = 139,317,513.5
If the quotient is a whole number, then 2 and 139,317,513.5 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 | 278,635,027 | |
| -1 | -278,635,027 |
Now, we try dividing 278,635,027 by 3:
278,635,027 ÷ 3 = 92,878,342.3333
If the quotient is a whole number, then 3 and 92,878,342.3333 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 | 278,635,027 | |
| -1 | -278,635,027 |
Let's try dividing by 4:
278,635,027 ÷ 4 = 69,658,756.75
If the quotient is a whole number, then 4 and 69,658,756.75 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 | 278,635,027 | |
| -1 | 278,635,027 |
If you did it right, you will end up with this table:
| 1 | 11 | 71 | 197 | 781 | 1,811 | 2,167 | 13,987 | 19,921 | 128,581 | 153,857 | 356,767 | 1,414,391 | 3,924,437 | 25,330,457 | 278,635,027 |
| -1 | -11 | -71 | -197 | -781 | -1,811 | -2,167 | -13,987 | -19,921 | -128,581 | -153,857 | -356,767 | -1,414,391 | -3,924,437 | -25,330,457 | -278,635,027 |
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