A:
Positive:
1 x 2111310117 x 3016157313 x 1624084791 x 23201211319 x 1600691759 x 1200299233 x 2286712313 x 17147
Negative:
-1 x -211131011-7 x -30161573-13 x -16240847-91 x -2320121-1319 x -160069-1759 x -120029-9233 x -22867-12313 x -17147
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 211,131,011, 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 | 211,131,011 | |
| -1 | -211,131,011 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 211,131,011.
Example:
1 x 211,131,011 = 211,131,011
and
-1 x -211,131,011 = 211,131,011
Notice both answers equal 211,131,011
With that explanation out of the way, let's continue. Next, we take the number 211,131,011 and divide it by 2:
211,131,011 ÷ 2 = 105,565,505.5
If the quotient is a whole number, then 2 and 105,565,505.5 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 | 211,131,011 | |
| -1 | -211,131,011 |
Now, we try dividing 211,131,011 by 3:
211,131,011 ÷ 3 = 70,377,003.6667
If the quotient is a whole number, then 3 and 70,377,003.6667 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 | 211,131,011 | |
| -1 | -211,131,011 |
Let's try dividing by 4:
211,131,011 ÷ 4 = 52,782,752.75
If the quotient is a whole number, then 4 and 52,782,752.75 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 | 211,131,011 | |
| -1 | 211,131,011 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 1,319 | 1,759 | 9,233 | 12,313 | 17,147 | 22,867 | 120,029 | 160,069 | 2,320,121 | 16,240,847 | 30,161,573 | 211,131,011 |
| -1 | -7 | -13 | -91 | -1,319 | -1,759 | -9,233 | -12,313 | -17,147 | -22,867 | -120,029 | -160,069 | -2,320,121 | -16,240,847 | -30,161,573 | -211,131,011 |
Here are some more numbers to try:
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