A:
Positive:
1 x 2344105617 x 3348722311 x 2131005131 x 756163149 x 478388977 x 3044293217 x 1080233341 x 687421539 x 4348991519 x 1543192387 x 9820314029 x 16709
Negative:
-1 x -234410561-7 x -33487223-11 x -21310051-31 x -7561631-49 x -4783889-77 x -3044293-217 x -1080233-341 x -687421-539 x -434899-1519 x -154319-2387 x -98203-14029 x -16709
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 234,410,561, 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 | 234,410,561 | |
| -1 | -234,410,561 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 234,410,561.
Example:
1 x 234,410,561 = 234,410,561
and
-1 x -234,410,561 = 234,410,561
Notice both answers equal 234,410,561
With that explanation out of the way, let's continue. Next, we take the number 234,410,561 and divide it by 2:
234,410,561 ÷ 2 = 117,205,280.5
If the quotient is a whole number, then 2 and 117,205,280.5 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 | 234,410,561 | |
| -1 | -234,410,561 |
Now, we try dividing 234,410,561 by 3:
234,410,561 ÷ 3 = 78,136,853.6667
If the quotient is a whole number, then 3 and 78,136,853.6667 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 | 234,410,561 | |
| -1 | -234,410,561 |
Let's try dividing by 4:
234,410,561 ÷ 4 = 58,602,640.25
If the quotient is a whole number, then 4 and 58,602,640.25 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 | 234,410,561 | |
| -1 | 234,410,561 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 31 | 49 | 77 | 217 | 341 | 539 | 1,519 | 2,387 | 14,029 | 16,709 | 98,203 | 154,319 | 434,899 | 687,421 | 1,080,233 | 3,044,293 | 4,783,889 | 7,561,631 | 21,310,051 | 33,487,223 | 234,410,561 |
| -1 | -7 | -11 | -31 | -49 | -77 | -217 | -341 | -539 | -1,519 | -2,387 | -14,029 | -16,709 | -98,203 | -154,319 | -434,899 | -687,421 | -1,080,233 | -3,044,293 | -4,783,889 | -7,561,631 | -21,310,051 | -33,487,223 | -234,410,561 |
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