A:
Positive:
1 x 211230117 x 301757313 x 162484791 x 23212197 x 217763679 x 311091261 x 167512393 x 8827
Negative:
-1 x -21123011-7 x -3017573-13 x -1624847-91 x -232121-97 x -217763-679 x -31109-1261 x -16751-2393 x -8827
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 21,123,011, 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 | 21,123,011 | |
| -1 | -21,123,011 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 21,123,011.
Example:
1 x 21,123,011 = 21,123,011
and
-1 x -21,123,011 = 21,123,011
Notice both answers equal 21,123,011
With that explanation out of the way, let's continue. Next, we take the number 21,123,011 and divide it by 2:
21,123,011 ÷ 2 = 10,561,505.5
If the quotient is a whole number, then 2 and 10,561,505.5 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 | 21,123,011 | |
| -1 | -21,123,011 |
Now, we try dividing 21,123,011 by 3:
21,123,011 ÷ 3 = 7,041,003.6667
If the quotient is a whole number, then 3 and 7,041,003.6667 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 | 21,123,011 | |
| -1 | -21,123,011 |
Let's try dividing by 4:
21,123,011 ÷ 4 = 5,280,752.75
If the quotient is a whole number, then 4 and 5,280,752.75 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 | 21,123,011 | |
| -1 | 21,123,011 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 97 | 679 | 1,261 | 2,393 | 8,827 | 16,751 | 31,109 | 217,763 | 232,121 | 1,624,847 | 3,017,573 | 21,123,011 |
| -1 | -7 | -13 | -91 | -97 | -679 | -1,261 | -2,393 | -8,827 | -16,751 | -31,109 | -217,763 | -232,121 | -1,624,847 | -3,017,573 | -21,123,011 |
Here are some more numbers to try:
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