A:
Positive:
1 x 214112355 x 428224731 x 690685107 x 200105155 x 138137535 x 400211291 x 165853317 x 6455
Negative:
-1 x -21411235-5 x -4282247-31 x -690685-107 x -200105-155 x -138137-535 x -40021-1291 x -16585-3317 x -6455
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 21,411,235, 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 | 21,411,235 | |
| -1 | -21,411,235 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 21,411,235.
Example:
1 x 21,411,235 = 21,411,235
and
-1 x -21,411,235 = 21,411,235
Notice both answers equal 21,411,235
With that explanation out of the way, let's continue. Next, we take the number 21,411,235 and divide it by 2:
21,411,235 ÷ 2 = 10,705,617.5
If the quotient is a whole number, then 2 and 10,705,617.5 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 | 21,411,235 | |
| -1 | -21,411,235 |
Now, we try dividing 21,411,235 by 3:
21,411,235 ÷ 3 = 7,137,078.3333
If the quotient is a whole number, then 3 and 7,137,078.3333 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 | 21,411,235 | |
| -1 | -21,411,235 |
Let's try dividing by 4:
21,411,235 ÷ 4 = 5,352,808.75
If the quotient is a whole number, then 4 and 5,352,808.75 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 | 21,411,235 | |
| -1 | 21,411,235 |
If you did it right, you will end up with this table:
| 1 | 5 | 31 | 107 | 155 | 535 | 1,291 | 3,317 | 6,455 | 16,585 | 40,021 | 138,137 | 200,105 | 690,685 | 4,282,247 | 21,411,235 |
| -1 | -5 | -31 | -107 | -155 | -535 | -1,291 | -3,317 | -6,455 | -16,585 | -40,021 | -138,137 | -200,105 | -690,685 | -4,282,247 | -21,411,235 |
Here are some more numbers to try:
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