A:
Positive:
1 x 2611651217 x 3730930341 x 6369881167 x 1563863287 x 9099831169 x 2234095449 x 479296847 x 38143
Negative:
-1 x -261165121-7 x -37309303-41 x -6369881-167 x -1563863-287 x -909983-1169 x -223409-5449 x -47929-6847 x -38143
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 261,165,121, 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 | 261,165,121 | |
| -1 | -261,165,121 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 261,165,121.
Example:
1 x 261,165,121 = 261,165,121
and
-1 x -261,165,121 = 261,165,121
Notice both answers equal 261,165,121
With that explanation out of the way, let's continue. Next, we take the number 261,165,121 and divide it by 2:
261,165,121 ÷ 2 = 130,582,560.5
If the quotient is a whole number, then 2 and 130,582,560.5 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 | 261,165,121 | |
| -1 | -261,165,121 |
Now, we try dividing 261,165,121 by 3:
261,165,121 ÷ 3 = 87,055,040.3333
If the quotient is a whole number, then 3 and 87,055,040.3333 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 | 261,165,121 | |
| -1 | -261,165,121 |
Let's try dividing by 4:
261,165,121 ÷ 4 = 65,291,280.25
If the quotient is a whole number, then 4 and 65,291,280.25 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 | 261,165,121 | |
| -1 | 261,165,121 |
If you did it right, you will end up with this table:
| 1 | 7 | 41 | 167 | 287 | 1,169 | 5,449 | 6,847 | 38,143 | 47,929 | 223,409 | 909,983 | 1,563,863 | 6,369,881 | 37,309,303 | 261,165,121 |
| -1 | -7 | -41 | -167 | -287 | -1,169 | -5,449 | -6,847 | -38,143 | -47,929 | -223,409 | -909,983 | -1,563,863 | -6,369,881 | -37,309,303 | -261,165,121 |
Here are some more numbers to try:
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