A:
Positive:
1 x 10200424123 x 443496747 x 2170303127 x 803183743 x 1372871081 x 943612921 x 349215969 x 17089
Negative:
-1 x -102004241-23 x -4434967-47 x -2170303-127 x -803183-743 x -137287-1081 x -94361-2921 x -34921-5969 x -17089
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 102,004,241, 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 | 102,004,241 | |
| -1 | -102,004,241 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 102,004,241.
Example:
1 x 102,004,241 = 102,004,241
and
-1 x -102,004,241 = 102,004,241
Notice both answers equal 102,004,241
With that explanation out of the way, let's continue. Next, we take the number 102,004,241 and divide it by 2:
102,004,241 ÷ 2 = 51,002,120.5
If the quotient is a whole number, then 2 and 51,002,120.5 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 | 102,004,241 | |
| -1 | -102,004,241 |
Now, we try dividing 102,004,241 by 3:
102,004,241 ÷ 3 = 34,001,413.6667
If the quotient is a whole number, then 3 and 34,001,413.6667 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 | 102,004,241 | |
| -1 | -102,004,241 |
Let's try dividing by 4:
102,004,241 ÷ 4 = 25,501,060.25
If the quotient is a whole number, then 4 and 25,501,060.25 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 | 102,004,241 | |
| -1 | 102,004,241 |
If you did it right, you will end up with this table:
| 1 | 23 | 47 | 127 | 743 | 1,081 | 2,921 | 5,969 | 17,089 | 34,921 | 94,361 | 137,287 | 803,183 | 2,170,303 | 4,434,967 | 102,004,241 |
| -1 | -23 | -47 | -127 | -743 | -1,081 | -2,921 | -5,969 | -17,089 | -34,921 | -94,361 | -137,287 | -803,183 | -2,170,303 | -4,434,967 | -102,004,241 |
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