A:
Positive:
1 x 27718104711 x 2519827713 x 21321619143 x 1938329181 x 15313871991 x 1392172353 x 11779910709 x 25883
Negative:
-1 x -277181047-11 x -25198277-13 x -21321619-143 x -1938329-181 x -1531387-1991 x -139217-2353 x -117799-10709 x -25883
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 277,181,047, 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 | 277,181,047 | |
| -1 | -277,181,047 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 277,181,047.
Example:
1 x 277,181,047 = 277,181,047
and
-1 x -277,181,047 = 277,181,047
Notice both answers equal 277,181,047
With that explanation out of the way, let's continue. Next, we take the number 277,181,047 and divide it by 2:
277,181,047 ÷ 2 = 138,590,523.5
If the quotient is a whole number, then 2 and 138,590,523.5 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 | 277,181,047 | |
| -1 | -277,181,047 |
Now, we try dividing 277,181,047 by 3:
277,181,047 ÷ 3 = 92,393,682.3333
If the quotient is a whole number, then 3 and 92,393,682.3333 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 | 277,181,047 | |
| -1 | -277,181,047 |
Let's try dividing by 4:
277,181,047 ÷ 4 = 69,295,261.75
If the quotient is a whole number, then 4 and 69,295,261.75 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 | 277,181,047 | |
| -1 | 277,181,047 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 143 | 181 | 1,991 | 2,353 | 10,709 | 25,883 | 117,799 | 139,217 | 1,531,387 | 1,938,329 | 21,321,619 | 25,198,277 | 277,181,047 |
| -1 | -11 | -13 | -143 | -181 | -1,991 | -2,353 | -10,709 | -25,883 | -117,799 | -139,217 | -1,531,387 | -1,938,329 | -21,321,619 | -25,198,277 | -277,181,047 |
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