A:
Positive:
1 x 2114204055 x 422840817 x 3020291535 x 604058337 x 5714065185 x 1142813259 x 8162951295 x 163259
Negative:
-1 x -211420405-5 x -42284081-7 x -30202915-35 x -6040583-37 x -5714065-185 x -1142813-259 x -816295-1295 x -163259
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 211,420,405, 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 | 211,420,405 | |
| -1 | -211,420,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 211,420,405.
Example:
1 x 211,420,405 = 211,420,405
and
-1 x -211,420,405 = 211,420,405
Notice both answers equal 211,420,405
With that explanation out of the way, let's continue. Next, we take the number 211,420,405 and divide it by 2:
211,420,405 ÷ 2 = 105,710,202.5
If the quotient is a whole number, then 2 and 105,710,202.5 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 | 211,420,405 | |
| -1 | -211,420,405 |
Now, we try dividing 211,420,405 by 3:
211,420,405 ÷ 3 = 70,473,468.3333
If the quotient is a whole number, then 3 and 70,473,468.3333 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 | 211,420,405 | |
| -1 | -211,420,405 |
Let's try dividing by 4:
211,420,405 ÷ 4 = 52,855,101.25
If the quotient is a whole number, then 4 and 52,855,101.25 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 | 211,420,405 | |
| -1 | 211,420,405 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 37 | 185 | 259 | 1,295 | 163,259 | 816,295 | 1,142,813 | 5,714,065 | 6,040,583 | 30,202,915 | 42,284,081 | 211,420,405 |
| -1 | -5 | -7 | -35 | -37 | -185 | -259 | -1,295 | -163,259 | -816,295 | -1,142,813 | -5,714,065 | -6,040,583 | -30,202,915 | -42,284,081 | -211,420,405 |
Here are some more numbers to try:
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