A:
Positive:
1 x 5177032637 x 7395760911 x 4706393377 x 6723419179 x 28921971253 x 4131711969 x 26292713783 x 37561
Negative:
-1 x -517703263-7 x -73957609-11 x -47063933-77 x -6723419-179 x -2892197-1253 x -413171-1969 x -262927-13783 x -37561
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 517,703,263, 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 | 517,703,263 | |
| -1 | -517,703,263 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 517,703,263.
Example:
1 x 517,703,263 = 517,703,263
and
-1 x -517,703,263 = 517,703,263
Notice both answers equal 517,703,263
With that explanation out of the way, let's continue. Next, we take the number 517,703,263 and divide it by 2:
517,703,263 ÷ 2 = 258,851,631.5
If the quotient is a whole number, then 2 and 258,851,631.5 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 | 517,703,263 | |
| -1 | -517,703,263 |
Now, we try dividing 517,703,263 by 3:
517,703,263 ÷ 3 = 172,567,754.3333
If the quotient is a whole number, then 3 and 172,567,754.3333 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 | 517,703,263 | |
| -1 | -517,703,263 |
Let's try dividing by 4:
517,703,263 ÷ 4 = 129,425,815.75
If the quotient is a whole number, then 4 and 129,425,815.75 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 | 517,703,263 | |
| -1 | 517,703,263 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 179 | 1,253 | 1,969 | 13,783 | 37,561 | 262,927 | 413,171 | 2,892,197 | 6,723,419 | 47,063,933 | 73,957,609 | 517,703,263 |
| -1 | -7 | -11 | -77 | -179 | -1,253 | -1,969 | -13,783 | -37,561 | -262,927 | -413,171 | -2,892,197 | -6,723,419 | -47,063,933 | -73,957,609 | -517,703,263 |
Here are some more numbers to try:
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