A:
Positive:
1 x 6255123555 x 12510247113 x 4811633565 x 9623267229 x 27314951145 x 5462992977 x 21011514885 x 42023
Negative:
-1 x -625512355-5 x -125102471-13 x -48116335-65 x -9623267-229 x -2731495-1145 x -546299-2977 x -210115-14885 x -42023
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 625,512,355, 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 | 625,512,355 | |
| -1 | -625,512,355 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 625,512,355.
Example:
1 x 625,512,355 = 625,512,355
and
-1 x -625,512,355 = 625,512,355
Notice both answers equal 625,512,355
With that explanation out of the way, let's continue. Next, we take the number 625,512,355 and divide it by 2:
625,512,355 ÷ 2 = 312,756,177.5
If the quotient is a whole number, then 2 and 312,756,177.5 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 | 625,512,355 | |
| -1 | -625,512,355 |
Now, we try dividing 625,512,355 by 3:
625,512,355 ÷ 3 = 208,504,118.3333
If the quotient is a whole number, then 3 and 208,504,118.3333 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 | 625,512,355 | |
| -1 | -625,512,355 |
Let's try dividing by 4:
625,512,355 ÷ 4 = 156,378,088.75
If the quotient is a whole number, then 4 and 156,378,088.75 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 | 625,512,355 | |
| -1 | 625,512,355 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 229 | 1,145 | 2,977 | 14,885 | 42,023 | 210,115 | 546,299 | 2,731,495 | 9,623,267 | 48,116,335 | 125,102,471 | 625,512,355 |
| -1 | -5 | -13 | -65 | -229 | -1,145 | -2,977 | -14,885 | -42,023 | -210,115 | -546,299 | -2,731,495 | -9,623,267 | -48,116,335 | -125,102,471 | -625,512,355 |
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