A:
Positive:
1 x 21210660737 x 573261171 x 2987417263 x 806489307 x 6909012627 x 807419731 x 2179711359 x 18673
Negative:
-1 x -212106607-37 x -5732611-71 x -2987417-263 x -806489-307 x -690901-2627 x -80741-9731 x -21797-11359 x -18673
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 212,106,607, 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 | 212,106,607 | |
| -1 | -212,106,607 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,106,607.
Example:
1 x 212,106,607 = 212,106,607
and
-1 x -212,106,607 = 212,106,607
Notice both answers equal 212,106,607
With that explanation out of the way, let's continue. Next, we take the number 212,106,607 and divide it by 2:
212,106,607 ÷ 2 = 106,053,303.5
If the quotient is a whole number, then 2 and 106,053,303.5 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 | 212,106,607 | |
| -1 | -212,106,607 |
Now, we try dividing 212,106,607 by 3:
212,106,607 ÷ 3 = 70,702,202.3333
If the quotient is a whole number, then 3 and 70,702,202.3333 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 | 212,106,607 | |
| -1 | -212,106,607 |
Let's try dividing by 4:
212,106,607 ÷ 4 = 53,026,651.75
If the quotient is a whole number, then 4 and 53,026,651.75 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 | 212,106,607 | |
| -1 | 212,106,607 |
If you did it right, you will end up with this table:
| 1 | 37 | 71 | 263 | 307 | 2,627 | 9,731 | 11,359 | 18,673 | 21,797 | 80,741 | 690,901 | 806,489 | 2,987,417 | 5,732,611 | 212,106,607 |
| -1 | -37 | -71 | -263 | -307 | -2,627 | -9,731 | -11,359 | -18,673 | -21,797 | -80,741 | -690,901 | -806,489 | -2,987,417 | -5,732,611 | -212,106,607 |
Here are some more numbers to try:
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