A:
Positive:
1 x 31410311911 x 28554829163 x 1927013167 x 18808571049 x 2994311793 x 1751831837 x 17098711539 x 27221
Negative:
-1 x -314103119-11 x -28554829-163 x -1927013-167 x -1880857-1049 x -299431-1793 x -175183-1837 x -170987-11539 x -27221
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 314,103,119, 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 | 314,103,119 | |
| -1 | -314,103,119 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 314,103,119.
Example:
1 x 314,103,119 = 314,103,119
and
-1 x -314,103,119 = 314,103,119
Notice both answers equal 314,103,119
With that explanation out of the way, let's continue. Next, we take the number 314,103,119 and divide it by 2:
314,103,119 ÷ 2 = 157,051,559.5
If the quotient is a whole number, then 2 and 157,051,559.5 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 | 314,103,119 | |
| -1 | -314,103,119 |
Now, we try dividing 314,103,119 by 3:
314,103,119 ÷ 3 = 104,701,039.6667
If the quotient is a whole number, then 3 and 104,701,039.6667 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 | 314,103,119 | |
| -1 | -314,103,119 |
Let's try dividing by 4:
314,103,119 ÷ 4 = 78,525,779.75
If the quotient is a whole number, then 4 and 78,525,779.75 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 | 314,103,119 | |
| -1 | 314,103,119 |
If you did it right, you will end up with this table:
| 1 | 11 | 163 | 167 | 1,049 | 1,793 | 1,837 | 11,539 | 27,221 | 170,987 | 175,183 | 299,431 | 1,880,857 | 1,927,013 | 28,554,829 | 314,103,119 |
| -1 | -11 | -163 | -167 | -1,049 | -1,793 | -1,837 | -11,539 | -27,221 | -170,987 | -175,183 | -299,431 | -1,880,857 | -1,927,013 | -28,554,829 | -314,103,119 |
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