A:
Positive:
1 x 172316697 x 246166713 x 132551323 x 74920391 x 189359161 x 107029299 x 576312093 x 8233
Negative:
-1 x -17231669-7 x -2461667-13 x -1325513-23 x -749203-91 x -189359-161 x -107029-299 x -57631-2093 x -8233
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 17,231,669, 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 | 17,231,669 | |
| -1 | -17,231,669 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 17,231,669.
Example:
1 x 17,231,669 = 17,231,669
and
-1 x -17,231,669 = 17,231,669
Notice both answers equal 17,231,669
With that explanation out of the way, let's continue. Next, we take the number 17,231,669 and divide it by 2:
17,231,669 ÷ 2 = 8,615,834.5
If the quotient is a whole number, then 2 and 8,615,834.5 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 | 17,231,669 | |
| -1 | -17,231,669 |
Now, we try dividing 17,231,669 by 3:
17,231,669 ÷ 3 = 5,743,889.6667
If the quotient is a whole number, then 3 and 5,743,889.6667 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 | 17,231,669 | |
| -1 | -17,231,669 |
Let's try dividing by 4:
17,231,669 ÷ 4 = 4,307,917.25
If the quotient is a whole number, then 4 and 4,307,917.25 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 | 17,231,669 | |
| -1 | 17,231,669 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 23 | 91 | 161 | 299 | 2,093 | 8,233 | 57,631 | 107,029 | 189,359 | 749,203 | 1,325,513 | 2,461,667 | 17,231,669 |
| -1 | -7 | -13 | -23 | -91 | -161 | -299 | -2,093 | -8,233 | -57,631 | -107,029 | -189,359 | -749,203 | -1,325,513 | -2,461,667 | -17,231,669 |
Here are some more numbers to try:
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