A:
Positive:
1 x 2054152317 x 2934503323 x 893109737 x 5551763161 x 1275871259 x 793109851 x 2413815957 x 34483
Negative:
-1 x -205415231-7 x -29345033-23 x -8931097-37 x -5551763-161 x -1275871-259 x -793109-851 x -241381-5957 x -34483
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 205,415,231, 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 | 205,415,231 | |
| -1 | -205,415,231 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 205,415,231.
Example:
1 x 205,415,231 = 205,415,231
and
-1 x -205,415,231 = 205,415,231
Notice both answers equal 205,415,231
With that explanation out of the way, let's continue. Next, we take the number 205,415,231 and divide it by 2:
205,415,231 ÷ 2 = 102,707,615.5
If the quotient is a whole number, then 2 and 102,707,615.5 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 | 205,415,231 | |
| -1 | -205,415,231 |
Now, we try dividing 205,415,231 by 3:
205,415,231 ÷ 3 = 68,471,743.6667
If the quotient is a whole number, then 3 and 68,471,743.6667 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 | 205,415,231 | |
| -1 | -205,415,231 |
Let's try dividing by 4:
205,415,231 ÷ 4 = 51,353,807.75
If the quotient is a whole number, then 4 and 51,353,807.75 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 | 205,415,231 | |
| -1 | 205,415,231 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 37 | 161 | 259 | 851 | 5,957 | 34,483 | 241,381 | 793,109 | 1,275,871 | 5,551,763 | 8,931,097 | 29,345,033 | 205,415,231 |
| -1 | -7 | -23 | -37 | -161 | -259 | -851 | -5,957 | -34,483 | -241,381 | -793,109 | -1,275,871 | -5,551,763 | -8,931,097 | -29,345,033 | -205,415,231 |
Here are some more numbers to try:
Try the factor calculator