A:
Positive:
1 x 5160153677 x 7371648131 x 1664565753 x 9736139217 x 2377951371 x 13908771643 x 31406911501 x 44867
Negative:
-1 x -516015367-7 x -73716481-31 x -16645657-53 x -9736139-217 x -2377951-371 x -1390877-1643 x -314069-11501 x -44867
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 516,015,367, 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 | 516,015,367 | |
| -1 | -516,015,367 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 516,015,367.
Example:
1 x 516,015,367 = 516,015,367
and
-1 x -516,015,367 = 516,015,367
Notice both answers equal 516,015,367
With that explanation out of the way, let's continue. Next, we take the number 516,015,367 and divide it by 2:
516,015,367 ÷ 2 = 258,007,683.5
If the quotient is a whole number, then 2 and 258,007,683.5 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 | 516,015,367 | |
| -1 | -516,015,367 |
Now, we try dividing 516,015,367 by 3:
516,015,367 ÷ 3 = 172,005,122.3333
If the quotient is a whole number, then 3 and 172,005,122.3333 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 | 516,015,367 | |
| -1 | -516,015,367 |
Let's try dividing by 4:
516,015,367 ÷ 4 = 129,003,841.75
If the quotient is a whole number, then 4 and 129,003,841.75 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 | 516,015,367 | |
| -1 | 516,015,367 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 53 | 217 | 371 | 1,643 | 11,501 | 44,867 | 314,069 | 1,390,877 | 2,377,951 | 9,736,139 | 16,645,657 | 73,716,481 | 516,015,367 |
| -1 | -7 | -31 | -53 | -217 | -371 | -1,643 | -11,501 | -44,867 | -314,069 | -1,390,877 | -2,377,951 | -9,736,139 | -16,645,657 | -73,716,481 | -516,015,367 |
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