A:
Positive:
1 x 2130000117 x 3042857349 x 4346939101 x 2108911193 x 1103627223 x 955157707 x 3012731351 x 1576611561 x 1364514949 x 430399457 x 2252310927 x 19493
Negative:
-1 x -213000011-7 x -30428573-49 x -4346939-101 x -2108911-193 x -1103627-223 x -955157-707 x -301273-1351 x -157661-1561 x -136451-4949 x -43039-9457 x -22523-10927 x -19493
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 213,000,011, 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 | 213,000,011 | |
| -1 | -213,000,011 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 213,000,011.
Example:
1 x 213,000,011 = 213,000,011
and
-1 x -213,000,011 = 213,000,011
Notice both answers equal 213,000,011
With that explanation out of the way, let's continue. Next, we take the number 213,000,011 and divide it by 2:
213,000,011 ÷ 2 = 106,500,005.5
If the quotient is a whole number, then 2 and 106,500,005.5 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 | 213,000,011 | |
| -1 | -213,000,011 |
Now, we try dividing 213,000,011 by 3:
213,000,011 ÷ 3 = 71,000,003.6667
If the quotient is a whole number, then 3 and 71,000,003.6667 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 | 213,000,011 | |
| -1 | -213,000,011 |
Let's try dividing by 4:
213,000,011 ÷ 4 = 53,250,002.75
If the quotient is a whole number, then 4 and 53,250,002.75 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 | 213,000,011 | |
| -1 | 213,000,011 |
If you did it right, you will end up with this table:
| 1 | 7 | 49 | 101 | 193 | 223 | 707 | 1,351 | 1,561 | 4,949 | 9,457 | 10,927 | 19,493 | 22,523 | 43,039 | 136,451 | 157,661 | 301,273 | 955,157 | 1,103,627 | 2,108,911 | 4,346,939 | 30,428,573 | 213,000,011 |
| -1 | -7 | -49 | -101 | -193 | -223 | -707 | -1,351 | -1,561 | -4,949 | -9,457 | -10,927 | -19,493 | -22,523 | -43,039 | -136,451 | -157,661 | -301,273 | -955,157 | -1,103,627 | -2,108,911 | -4,346,939 | -30,428,573 | -213,000,011 |
Here are some more numbers to try:
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