A:
Positive:
1 x 2111113137 x 30158759193 x 1093841307 x 687659509 x 4147571351 x 1562632149 x 982373563 x 59251
Negative:
-1 x -211111313-7 x -30158759-193 x -1093841-307 x -687659-509 x -414757-1351 x -156263-2149 x -98237-3563 x -59251
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 211,111,313, 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 | 211,111,313 | |
| -1 | -211,111,313 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 211,111,313.
Example:
1 x 211,111,313 = 211,111,313
and
-1 x -211,111,313 = 211,111,313
Notice both answers equal 211,111,313
With that explanation out of the way, let's continue. Next, we take the number 211,111,313 and divide it by 2:
211,111,313 ÷ 2 = 105,555,656.5
If the quotient is a whole number, then 2 and 105,555,656.5 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 | 211,111,313 | |
| -1 | -211,111,313 |
Now, we try dividing 211,111,313 by 3:
211,111,313 ÷ 3 = 70,370,437.6667
If the quotient is a whole number, then 3 and 70,370,437.6667 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 | 211,111,313 | |
| -1 | -211,111,313 |
Let's try dividing by 4:
211,111,313 ÷ 4 = 52,777,828.25
If the quotient is a whole number, then 4 and 52,777,828.25 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 | 211,111,313 | |
| -1 | 211,111,313 |
If you did it right, you will end up with this table:
| 1 | 7 | 193 | 307 | 509 | 1,351 | 2,149 | 3,563 | 59,251 | 98,237 | 156,263 | 414,757 | 687,659 | 1,093,841 | 30,158,759 | 211,111,313 |
| -1 | -7 | -193 | -307 | -509 | -1,351 | -2,149 | -3,563 | -59,251 | -98,237 | -156,263 | -414,757 | -687,659 | -1,093,841 | -30,158,759 | -211,111,313 |
Here are some more numbers to try:
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