A:
Positive:
1 x 2896666255 x 5793332525 x 11586665125 x 2317333443 x 6538752215 x 1307755231 x 5537511075 x 26155
Negative:
-1 x -289666625-5 x -57933325-25 x -11586665-125 x -2317333-443 x -653875-2215 x -130775-5231 x -55375-11075 x -26155
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 289,666,625, 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 | 289,666,625 | |
| -1 | -289,666,625 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 289,666,625.
Example:
1 x 289,666,625 = 289,666,625
and
-1 x -289,666,625 = 289,666,625
Notice both answers equal 289,666,625
With that explanation out of the way, let's continue. Next, we take the number 289,666,625 and divide it by 2:
289,666,625 ÷ 2 = 144,833,312.5
If the quotient is a whole number, then 2 and 144,833,312.5 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 | 289,666,625 | |
| -1 | -289,666,625 |
Now, we try dividing 289,666,625 by 3:
289,666,625 ÷ 3 = 96,555,541.6667
If the quotient is a whole number, then 3 and 96,555,541.6667 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 | 289,666,625 | |
| -1 | -289,666,625 |
Let's try dividing by 4:
289,666,625 ÷ 4 = 72,416,656.25
If the quotient is a whole number, then 4 and 72,416,656.25 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 | 289,666,625 | |
| -1 | 289,666,625 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 125 | 443 | 2,215 | 5,231 | 11,075 | 26,155 | 55,375 | 130,775 | 653,875 | 2,317,333 | 11,586,665 | 57,933,325 | 289,666,625 |
| -1 | -5 | -25 | -125 | -443 | -2,215 | -5,231 | -11,075 | -26,155 | -55,375 | -130,775 | -653,875 | -2,317,333 | -11,586,665 | -57,933,325 | -289,666,625 |
Here are some more numbers to try:
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