A:
Positive:
1 x 176750217 x 252500313 x 135961743 x 41104791 x 194231301 x 58721559 x 316193913 x 4517
Negative:
-1 x -17675021-7 x -2525003-13 x -1359617-43 x -411047-91 x -194231-301 x -58721-559 x -31619-3913 x -4517
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 17,675,021, 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 | 17,675,021 | |
| -1 | -17,675,021 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 17,675,021.
Example:
1 x 17,675,021 = 17,675,021
and
-1 x -17,675,021 = 17,675,021
Notice both answers equal 17,675,021
With that explanation out of the way, let's continue. Next, we take the number 17,675,021 and divide it by 2:
17,675,021 ÷ 2 = 8,837,510.5
If the quotient is a whole number, then 2 and 8,837,510.5 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 | 17,675,021 | |
| -1 | -17,675,021 |
Now, we try dividing 17,675,021 by 3:
17,675,021 ÷ 3 = 5,891,673.6667
If the quotient is a whole number, then 3 and 5,891,673.6667 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 | 17,675,021 | |
| -1 | -17,675,021 |
Let's try dividing by 4:
17,675,021 ÷ 4 = 4,418,755.25
If the quotient is a whole number, then 4 and 4,418,755.25 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 | 17,675,021 | |
| -1 | 17,675,021 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 43 | 91 | 301 | 559 | 3,913 | 4,517 | 31,619 | 58,721 | 194,231 | 411,047 | 1,359,617 | 2,525,003 | 17,675,021 |
| -1 | -7 | -13 | -43 | -91 | -301 | -559 | -3,913 | -4,517 | -31,619 | -58,721 | -194,231 | -411,047 | -1,359,617 | -2,525,003 | -17,675,021 |
Here are some more numbers to try:
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