A:
Positive:
1 x 2051825237 x 2931178913 x 1578327191 x 2254753223 x 9201011561 x 1314432899 x 7077710111 x 20293
Negative:
-1 x -205182523-7 x -29311789-13 x -15783271-91 x -2254753-223 x -920101-1561 x -131443-2899 x -70777-10111 x -20293
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 205,182,523, 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 | 205,182,523 | |
| -1 | -205,182,523 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 205,182,523.
Example:
1 x 205,182,523 = 205,182,523
and
-1 x -205,182,523 = 205,182,523
Notice both answers equal 205,182,523
With that explanation out of the way, let's continue. Next, we take the number 205,182,523 and divide it by 2:
205,182,523 ÷ 2 = 102,591,261.5
If the quotient is a whole number, then 2 and 102,591,261.5 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 | 205,182,523 | |
| -1 | -205,182,523 |
Now, we try dividing 205,182,523 by 3:
205,182,523 ÷ 3 = 68,394,174.3333
If the quotient is a whole number, then 3 and 68,394,174.3333 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 | 205,182,523 | |
| -1 | -205,182,523 |
Let's try dividing by 4:
205,182,523 ÷ 4 = 51,295,630.75
If the quotient is a whole number, then 4 and 51,295,630.75 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 | 205,182,523 | |
| -1 | 205,182,523 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 223 | 1,561 | 2,899 | 10,111 | 20,293 | 70,777 | 131,443 | 920,101 | 2,254,753 | 15,783,271 | 29,311,789 | 205,182,523 |
| -1 | -7 | -13 | -91 | -223 | -1,561 | -2,899 | -10,111 | -20,293 | -70,777 | -131,443 | -920,101 | -2,254,753 | -15,783,271 | -29,311,789 | -205,182,523 |
Here are some more numbers to try:
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