A:
Positive:
1 x 31513612729 x 1086676341 x 768624771 x 44385371189 x 2650432059 x 1530532911 x 1082573733 x 84419
Negative:
-1 x -315136127-29 x -10866763-41 x -7686247-71 x -4438537-1189 x -265043-2059 x -153053-2911 x -108257-3733 x -84419
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 315,136,127, 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 | 315,136,127 | |
| -1 | -315,136,127 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 315,136,127.
Example:
1 x 315,136,127 = 315,136,127
and
-1 x -315,136,127 = 315,136,127
Notice both answers equal 315,136,127
With that explanation out of the way, let's continue. Next, we take the number 315,136,127 and divide it by 2:
315,136,127 ÷ 2 = 157,568,063.5
If the quotient is a whole number, then 2 and 157,568,063.5 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 | 315,136,127 | |
| -1 | -315,136,127 |
Now, we try dividing 315,136,127 by 3:
315,136,127 ÷ 3 = 105,045,375.6667
If the quotient is a whole number, then 3 and 105,045,375.6667 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 | 315,136,127 | |
| -1 | -315,136,127 |
Let's try dividing by 4:
315,136,127 ÷ 4 = 78,784,031.75
If the quotient is a whole number, then 4 and 78,784,031.75 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 | 315,136,127 | |
| -1 | 315,136,127 |
If you did it right, you will end up with this table:
| 1 | 29 | 41 | 71 | 1,189 | 2,059 | 2,911 | 3,733 | 84,419 | 108,257 | 153,053 | 265,043 | 4,438,537 | 7,686,247 | 10,866,763 | 315,136,127 |
| -1 | -29 | -41 | -71 | -1,189 | -2,059 | -2,911 | -3,733 | -84,419 | -108,257 | -153,053 | -265,043 | -4,438,537 | -7,686,247 | -10,866,763 | -315,136,127 |
Here are some more numbers to try:
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