A:
Positive:
1 x 21202211317 x 1247188931 x 6839423109 x 1945157527 x 4023191853 x 1144213379 x 627473691 x 57443
Negative:
-1 x -212022113-17 x -12471889-31 x -6839423-109 x -1945157-527 x -402319-1853 x -114421-3379 x -62747-3691 x -57443
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 212,022,113, 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 | 212,022,113 | |
| -1 | -212,022,113 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,022,113.
Example:
1 x 212,022,113 = 212,022,113
and
-1 x -212,022,113 = 212,022,113
Notice both answers equal 212,022,113
With that explanation out of the way, let's continue. Next, we take the number 212,022,113 and divide it by 2:
212,022,113 ÷ 2 = 106,011,056.5
If the quotient is a whole number, then 2 and 106,011,056.5 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 | 212,022,113 | |
| -1 | -212,022,113 |
Now, we try dividing 212,022,113 by 3:
212,022,113 ÷ 3 = 70,674,037.6667
If the quotient is a whole number, then 3 and 70,674,037.6667 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 | 212,022,113 | |
| -1 | -212,022,113 |
Let's try dividing by 4:
212,022,113 ÷ 4 = 53,005,528.25
If the quotient is a whole number, then 4 and 53,005,528.25 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 | 212,022,113 | |
| -1 | 212,022,113 |
If you did it right, you will end up with this table:
| 1 | 17 | 31 | 109 | 527 | 1,853 | 3,379 | 3,691 | 57,443 | 62,747 | 114,421 | 402,319 | 1,945,157 | 6,839,423 | 12,471,889 | 212,022,113 |
| -1 | -17 | -31 | -109 | -527 | -1,853 | -3,379 | -3,691 | -57,443 | -62,747 | -114,421 | -402,319 | -1,945,157 | -6,839,423 | -12,471,889 | -212,022,113 |
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