A:
Positive:
1 x 242121117 x 345887311 x 220110177 x 314443383 x 63217821 x 294912681 x 90314213 x 5747
Negative:
-1 x -24212111-7 x -3458873-11 x -2201101-77 x -314443-383 x -63217-821 x -29491-2681 x -9031-4213 x -5747
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 24,212,111, 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 | 24,212,111 | |
| -1 | -24,212,111 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 24,212,111.
Example:
1 x 24,212,111 = 24,212,111
and
-1 x -24,212,111 = 24,212,111
Notice both answers equal 24,212,111
With that explanation out of the way, let's continue. Next, we take the number 24,212,111 and divide it by 2:
24,212,111 ÷ 2 = 12,106,055.5
If the quotient is a whole number, then 2 and 12,106,055.5 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 | 24,212,111 | |
| -1 | -24,212,111 |
Now, we try dividing 24,212,111 by 3:
24,212,111 ÷ 3 = 8,070,703.6667
If the quotient is a whole number, then 3 and 8,070,703.6667 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 | 24,212,111 | |
| -1 | -24,212,111 |
Let's try dividing by 4:
24,212,111 ÷ 4 = 6,053,027.75
If the quotient is a whole number, then 4 and 6,053,027.75 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 | 24,212,111 | |
| -1 | 24,212,111 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 383 | 821 | 2,681 | 4,213 | 5,747 | 9,031 | 29,491 | 63,217 | 314,443 | 2,201,101 | 3,458,873 | 24,212,111 |
| -1 | -7 | -11 | -77 | -383 | -821 | -2,681 | -4,213 | -5,747 | -9,031 | -29,491 | -63,217 | -314,443 | -2,201,101 | -3,458,873 | -24,212,111 |
Here are some more numbers to try:
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