A:
Positive:
1 x 2134224055 x 426844817 x 3048891523 x 927923535 x 6097783115 x 1855847161 x 1325605529 x 403445805 x 2651212645 x 806893703 x 5763511527 x 18515
Negative:
-1 x -213422405-5 x -42684481-7 x -30488915-23 x -9279235-35 x -6097783-115 x -1855847-161 x -1325605-529 x -403445-805 x -265121-2645 x -80689-3703 x -57635-11527 x -18515
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 213,422,405, 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 | 213,422,405 | |
| -1 | -213,422,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 213,422,405.
Example:
1 x 213,422,405 = 213,422,405
and
-1 x -213,422,405 = 213,422,405
Notice both answers equal 213,422,405
With that explanation out of the way, let's continue. Next, we take the number 213,422,405 and divide it by 2:
213,422,405 ÷ 2 = 106,711,202.5
If the quotient is a whole number, then 2 and 106,711,202.5 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 | 213,422,405 | |
| -1 | -213,422,405 |
Now, we try dividing 213,422,405 by 3:
213,422,405 ÷ 3 = 71,140,801.6667
If the quotient is a whole number, then 3 and 71,140,801.6667 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 | 213,422,405 | |
| -1 | -213,422,405 |
Let's try dividing by 4:
213,422,405 ÷ 4 = 53,355,601.25
If the quotient is a whole number, then 4 and 53,355,601.25 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 | 213,422,405 | |
| -1 | 213,422,405 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 23 | 35 | 115 | 161 | 529 | 805 | 2,645 | 3,703 | 11,527 | 18,515 | 57,635 | 80,689 | 265,121 | 403,445 | 1,325,605 | 1,855,847 | 6,097,783 | 9,279,235 | 30,488,915 | 42,684,481 | 213,422,405 |
| -1 | -5 | -7 | -23 | -35 | -115 | -161 | -529 | -805 | -2,645 | -3,703 | -11,527 | -18,515 | -57,635 | -80,689 | -265,121 | -403,445 | -1,325,605 | -1,855,847 | -6,097,783 | -9,279,235 | -30,488,915 | -42,684,481 | -213,422,405 |
Here are some more numbers to try:
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