A:
Positive:
1 x 10002131101 x 99031167 x 59893593 x 16867
Negative:
-1 x -10002131-101 x -99031-167 x -59893-593 x -16867
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 10,002,131, 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 | 10,002,131 | |
| -1 | -10,002,131 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,002,131.
Example:
1 x 10,002,131 = 10,002,131
and
-1 x -10,002,131 = 10,002,131
Notice both answers equal 10,002,131
With that explanation out of the way, let's continue. Next, we take the number 10,002,131 and divide it by 2:
10,002,131 ÷ 2 = 5,001,065.5
If the quotient is a whole number, then 2 and 5,001,065.5 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 | 10,002,131 | |
| -1 | -10,002,131 |
Now, we try dividing 10,002,131 by 3:
10,002,131 ÷ 3 = 3,334,043.6667
If the quotient is a whole number, then 3 and 3,334,043.6667 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 | 10,002,131 | |
| -1 | -10,002,131 |
Let's try dividing by 4:
10,002,131 ÷ 4 = 2,500,532.75
If the quotient is a whole number, then 4 and 2,500,532.75 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 | 10,002,131 | |
| -1 | 10,002,131 |
If you did it right, you will end up with this table:
| 1 | 101 | 167 | 593 | 16,867 | 59,893 | 99,031 | 10,002,131 |
| -1 | -101 | -167 | -593 | -16,867 | -59,893 | -99,031 | -10,002,131 |
Here are some more numbers to try:
Try the factor calculator