A:
Positive:
1 x 171023237 x 244318917 x 100601949 x 349027119 x 143717343 x 49861419 x 40817833 x 205312401 x 71232933 x 5831
Negative:
-1 x -17102323-7 x -2443189-17 x -1006019-49 x -349027-119 x -143717-343 x -49861-419 x -40817-833 x -20531-2401 x -7123-2933 x -5831
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 17,102,323, 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 | 17,102,323 | |
| -1 | -17,102,323 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 17,102,323.
Example:
1 x 17,102,323 = 17,102,323
and
-1 x -17,102,323 = 17,102,323
Notice both answers equal 17,102,323
With that explanation out of the way, let's continue. Next, we take the number 17,102,323 and divide it by 2:
17,102,323 ÷ 2 = 8,551,161.5
If the quotient is a whole number, then 2 and 8,551,161.5 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 | 17,102,323 | |
| -1 | -17,102,323 |
Now, we try dividing 17,102,323 by 3:
17,102,323 ÷ 3 = 5,700,774.3333
If the quotient is a whole number, then 3 and 5,700,774.3333 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 | 17,102,323 | |
| -1 | -17,102,323 |
Let's try dividing by 4:
17,102,323 ÷ 4 = 4,275,580.75
If the quotient is a whole number, then 4 and 4,275,580.75 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 | 17,102,323 | |
| -1 | 17,102,323 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 49 | 119 | 343 | 419 | 833 | 2,401 | 2,933 | 5,831 | 7,123 | 20,531 | 40,817 | 49,861 | 143,717 | 349,027 | 1,006,019 | 2,443,189 | 17,102,323 |
| -1 | -7 | -17 | -49 | -119 | -343 | -419 | -833 | -2,401 | -2,933 | -5,831 | -7,123 | -20,531 | -40,817 | -49,861 | -143,717 | -349,027 | -1,006,019 | -2,443,189 | -17,102,323 |
Here are some more numbers to try:
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