A:
Positive:
1 x 2907599877 x 4153714141 x 7091707227 x 1280881287 x 10131011589 x 1829834463 x 651499307 x 31241
Negative:
-1 x -290759987-7 x -41537141-41 x -7091707-227 x -1280881-287 x -1013101-1589 x -182983-4463 x -65149-9307 x -31241
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 290,759,987, 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 | 290,759,987 | |
| -1 | -290,759,987 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 290,759,987.
Example:
1 x 290,759,987 = 290,759,987
and
-1 x -290,759,987 = 290,759,987
Notice both answers equal 290,759,987
With that explanation out of the way, let's continue. Next, we take the number 290,759,987 and divide it by 2:
290,759,987 ÷ 2 = 145,379,993.5
If the quotient is a whole number, then 2 and 145,379,993.5 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 | 290,759,987 | |
| -1 | -290,759,987 |
Now, we try dividing 290,759,987 by 3:
290,759,987 ÷ 3 = 96,919,995.6667
If the quotient is a whole number, then 3 and 96,919,995.6667 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 | 290,759,987 | |
| -1 | -290,759,987 |
Let's try dividing by 4:
290,759,987 ÷ 4 = 72,689,996.75
If the quotient is a whole number, then 4 and 72,689,996.75 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 | 290,759,987 | |
| -1 | 290,759,987 |
If you did it right, you will end up with this table:
| 1 | 7 | 41 | 227 | 287 | 1,589 | 4,463 | 9,307 | 31,241 | 65,149 | 182,983 | 1,013,101 | 1,280,881 | 7,091,707 | 41,537,141 | 290,759,987 |
| -1 | -7 | -41 | -227 | -287 | -1,589 | -4,463 | -9,307 | -31,241 | -65,149 | -182,983 | -1,013,101 | -1,280,881 | -7,091,707 | -41,537,141 | -290,759,987 |
Here are some more numbers to try:
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