A:
Positive:
1 x 1720183255 x 3440366517 x 1011872525 x 688073385 x 2023745127 x 1354475425 x 404749635 x 2708952159 x 796753175 x 541793187 x 5397510795 x 15935
Negative:
-1 x -172018325-5 x -34403665-17 x -10118725-25 x -6880733-85 x -2023745-127 x -1354475-425 x -404749-635 x -270895-2159 x -79675-3175 x -54179-3187 x -53975-10795 x -15935
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 172,018,325, 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 | 172,018,325 | |
| -1 | -172,018,325 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 172,018,325.
Example:
1 x 172,018,325 = 172,018,325
and
-1 x -172,018,325 = 172,018,325
Notice both answers equal 172,018,325
With that explanation out of the way, let's continue. Next, we take the number 172,018,325 and divide it by 2:
172,018,325 ÷ 2 = 86,009,162.5
If the quotient is a whole number, then 2 and 86,009,162.5 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 | 172,018,325 | |
| -1 | -172,018,325 |
Now, we try dividing 172,018,325 by 3:
172,018,325 ÷ 3 = 57,339,441.6667
If the quotient is a whole number, then 3 and 57,339,441.6667 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 | 172,018,325 | |
| -1 | -172,018,325 |
Let's try dividing by 4:
172,018,325 ÷ 4 = 43,004,581.25
If the quotient is a whole number, then 4 and 43,004,581.25 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 | 172,018,325 | |
| -1 | 172,018,325 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 25 | 85 | 127 | 425 | 635 | 2,159 | 3,175 | 3,187 | 10,795 | 15,935 | 53,975 | 54,179 | 79,675 | 270,895 | 404,749 | 1,354,475 | 2,023,745 | 6,880,733 | 10,118,725 | 34,403,665 | 172,018,325 |
| -1 | -5 | -17 | -25 | -85 | -127 | -425 | -635 | -2,159 | -3,175 | -3,187 | -10,795 | -15,935 | -53,975 | -54,179 | -79,675 | -270,895 | -404,749 | -1,354,475 | -2,023,745 | -6,880,733 | -10,118,725 | -34,403,665 | -172,018,325 |
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