A:
Positive:
1 x 2586431355 x 5172862737 x 6990355185 x 1398071577 x 4482552423 x 1067452885 x 8965112115 x 21349
Negative:
-1 x -258643135-5 x -51728627-37 x -6990355-185 x -1398071-577 x -448255-2423 x -106745-2885 x -89651-12115 x -21349
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 258,643,135, 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 | 258,643,135 | |
| -1 | -258,643,135 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 258,643,135.
Example:
1 x 258,643,135 = 258,643,135
and
-1 x -258,643,135 = 258,643,135
Notice both answers equal 258,643,135
With that explanation out of the way, let's continue. Next, we take the number 258,643,135 and divide it by 2:
258,643,135 ÷ 2 = 129,321,567.5
If the quotient is a whole number, then 2 and 129,321,567.5 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 | 258,643,135 | |
| -1 | -258,643,135 |
Now, we try dividing 258,643,135 by 3:
258,643,135 ÷ 3 = 86,214,378.3333
If the quotient is a whole number, then 3 and 86,214,378.3333 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 | 258,643,135 | |
| -1 | -258,643,135 |
Let's try dividing by 4:
258,643,135 ÷ 4 = 64,660,783.75
If the quotient is a whole number, then 4 and 64,660,783.75 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 | 258,643,135 | |
| -1 | 258,643,135 |
If you did it right, you will end up with this table:
| 1 | 5 | 37 | 185 | 577 | 2,423 | 2,885 | 12,115 | 21,349 | 89,651 | 106,745 | 448,255 | 1,398,071 | 6,990,355 | 51,728,627 | 258,643,135 |
| -1 | -5 | -37 | -185 | -577 | -2,423 | -2,885 | -12,115 | -21,349 | -89,651 | -106,745 | -448,255 | -1,398,071 | -6,990,355 | -51,728,627 | -258,643,135 |
Here are some more numbers to try:
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