A:
Positive:
1 x 2051310177 x 2930443113 x 1577930991 x 2254187169 x 1213793317 x 647101547 x 3750111183 x 1733992219 x 924433829 x 535734121 x 497777111 x 28847
Negative:
-1 x -205131017-7 x -29304431-13 x -15779309-91 x -2254187-169 x -1213793-317 x -647101-547 x -375011-1183 x -173399-2219 x -92443-3829 x -53573-4121 x -49777-7111 x -28847
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 205,131,017, 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 | 205,131,017 | |
| -1 | -205,131,017 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 205,131,017.
Example:
1 x 205,131,017 = 205,131,017
and
-1 x -205,131,017 = 205,131,017
Notice both answers equal 205,131,017
With that explanation out of the way, let's continue. Next, we take the number 205,131,017 and divide it by 2:
205,131,017 ÷ 2 = 102,565,508.5
If the quotient is a whole number, then 2 and 102,565,508.5 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 | 205,131,017 | |
| -1 | -205,131,017 |
Now, we try dividing 205,131,017 by 3:
205,131,017 ÷ 3 = 68,377,005.6667
If the quotient is a whole number, then 3 and 68,377,005.6667 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 | 205,131,017 | |
| -1 | -205,131,017 |
Let's try dividing by 4:
205,131,017 ÷ 4 = 51,282,754.25
If the quotient is a whole number, then 4 and 51,282,754.25 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 | 205,131,017 | |
| -1 | 205,131,017 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 169 | 317 | 547 | 1,183 | 2,219 | 3,829 | 4,121 | 7,111 | 28,847 | 49,777 | 53,573 | 92,443 | 173,399 | 375,011 | 647,101 | 1,213,793 | 2,254,187 | 15,779,309 | 29,304,431 | 205,131,017 |
| -1 | -7 | -13 | -91 | -169 | -317 | -547 | -1,183 | -2,219 | -3,829 | -4,121 | -7,111 | -28,847 | -49,777 | -53,573 | -92,443 | -173,399 | -375,011 | -647,101 | -1,213,793 | -2,254,187 | -15,779,309 | -29,304,431 | -205,131,017 |
Here are some more numbers to try:
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