A:
Positive:
1 x 2112322311 x 192029323 x 91840129 x 728387253 x 83491319 x 66217667 x 316692879 x 7337
Negative:
-1 x -21123223-11 x -1920293-23 x -918401-29 x -728387-253 x -83491-319 x -66217-667 x -31669-2879 x -7337
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 21,123,223, 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 | 21,123,223 | |
| -1 | -21,123,223 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 21,123,223.
Example:
1 x 21,123,223 = 21,123,223
and
-1 x -21,123,223 = 21,123,223
Notice both answers equal 21,123,223
With that explanation out of the way, let's continue. Next, we take the number 21,123,223 and divide it by 2:
21,123,223 ÷ 2 = 10,561,611.5
If the quotient is a whole number, then 2 and 10,561,611.5 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 | 21,123,223 | |
| -1 | -21,123,223 |
Now, we try dividing 21,123,223 by 3:
21,123,223 ÷ 3 = 7,041,074.3333
If the quotient is a whole number, then 3 and 7,041,074.3333 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 | 21,123,223 | |
| -1 | -21,123,223 |
Let's try dividing by 4:
21,123,223 ÷ 4 = 5,280,805.75
If the quotient is a whole number, then 4 and 5,280,805.75 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 | 21,123,223 | |
| -1 | 21,123,223 |
If you did it right, you will end up with this table:
| 1 | 11 | 23 | 29 | 253 | 319 | 667 | 2,879 | 7,337 | 31,669 | 66,217 | 83,491 | 728,387 | 918,401 | 1,920,293 | 21,123,223 |
| -1 | -11 | -23 | -29 | -253 | -319 | -667 | -2,879 | -7,337 | -31,669 | -66,217 | -83,491 | -728,387 | -918,401 | -1,920,293 | -21,123,223 |
Here are some more numbers to try:
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