A:
Positive:
1 x 212324055 x 424648117 x 124896519 x 111749585 x 24979395 x 223499323 x 657351615 x 13147
Negative:
-1 x -21232405-5 x -4246481-17 x -1248965-19 x -1117495-85 x -249793-95 x -223499-323 x -65735-1615 x -13147
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 21,232,405, 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 | 21,232,405 | |
| -1 | -21,232,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 21,232,405.
Example:
1 x 21,232,405 = 21,232,405
and
-1 x -21,232,405 = 21,232,405
Notice both answers equal 21,232,405
With that explanation out of the way, let's continue. Next, we take the number 21,232,405 and divide it by 2:
21,232,405 ÷ 2 = 10,616,202.5
If the quotient is a whole number, then 2 and 10,616,202.5 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 | 21,232,405 | |
| -1 | -21,232,405 |
Now, we try dividing 21,232,405 by 3:
21,232,405 ÷ 3 = 7,077,468.3333
If the quotient is a whole number, then 3 and 7,077,468.3333 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 | 21,232,405 | |
| -1 | -21,232,405 |
Let's try dividing by 4:
21,232,405 ÷ 4 = 5,308,101.25
If the quotient is a whole number, then 4 and 5,308,101.25 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 | 21,232,405 | |
| -1 | 21,232,405 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 19 | 85 | 95 | 323 | 1,615 | 13,147 | 65,735 | 223,499 | 249,793 | 1,117,495 | 1,248,965 | 4,246,481 | 21,232,405 |
| -1 | -5 | -17 | -19 | -85 | -95 | -323 | -1,615 | -13,147 | -65,735 | -223,499 | -249,793 | -1,117,495 | -1,248,965 | -4,246,481 | -21,232,405 |
Here are some more numbers to try:
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