A:
Positive:
1 x 1000051437 x 1428644943 x 232570147 x 2127769301 x 332243329 x 3039672021 x 494837069 x 14147
Negative:
-1 x -100005143-7 x -14286449-43 x -2325701-47 x -2127769-301 x -332243-329 x -303967-2021 x -49483-7069 x -14147
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 100,005,143, 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 | 100,005,143 | |
| -1 | -100,005,143 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,005,143.
Example:
1 x 100,005,143 = 100,005,143
and
-1 x -100,005,143 = 100,005,143
Notice both answers equal 100,005,143
With that explanation out of the way, let's continue. Next, we take the number 100,005,143 and divide it by 2:
100,005,143 ÷ 2 = 50,002,571.5
If the quotient is a whole number, then 2 and 50,002,571.5 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 | 100,005,143 | |
| -1 | -100,005,143 |
Now, we try dividing 100,005,143 by 3:
100,005,143 ÷ 3 = 33,335,047.6667
If the quotient is a whole number, then 3 and 33,335,047.6667 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 | 100,005,143 | |
| -1 | -100,005,143 |
Let's try dividing by 4:
100,005,143 ÷ 4 = 25,001,285.75
If the quotient is a whole number, then 4 and 25,001,285.75 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 | 100,005,143 | |
| -1 | 100,005,143 |
If you did it right, you will end up with this table:
| 1 | 7 | 43 | 47 | 301 | 329 | 2,021 | 7,069 | 14,147 | 49,483 | 303,967 | 332,243 | 2,127,769 | 2,325,701 | 14,286,449 | 100,005,143 |
| -1 | -7 | -43 | -47 | -301 | -329 | -2,021 | -7,069 | -14,147 | -49,483 | -303,967 | -332,243 | -2,127,769 | -2,325,701 | -14,286,449 | -100,005,143 |
Here are some more numbers to try:
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