A:
Positive:
1 x 4201004055 x 8402008123 x 1826523537 x 11354065115 x 3653047185 x 2270813851 x 4936554255 x 98731
Negative:
-1 x -420100405-5 x -84020081-23 x -18265235-37 x -11354065-115 x -3653047-185 x -2270813-851 x -493655-4255 x -98731
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 420,100,405, 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 | 420,100,405 | |
| -1 | -420,100,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 420,100,405.
Example:
1 x 420,100,405 = 420,100,405
and
-1 x -420,100,405 = 420,100,405
Notice both answers equal 420,100,405
With that explanation out of the way, let's continue. Next, we take the number 420,100,405 and divide it by 2:
420,100,405 ÷ 2 = 210,050,202.5
If the quotient is a whole number, then 2 and 210,050,202.5 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 | 420,100,405 | |
| -1 | -420,100,405 |
Now, we try dividing 420,100,405 by 3:
420,100,405 ÷ 3 = 140,033,468.3333
If the quotient is a whole number, then 3 and 140,033,468.3333 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 | 420,100,405 | |
| -1 | -420,100,405 |
Let's try dividing by 4:
420,100,405 ÷ 4 = 105,025,101.25
If the quotient is a whole number, then 4 and 105,025,101.25 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 | 420,100,405 | |
| -1 | 420,100,405 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 37 | 115 | 185 | 851 | 4,255 | 98,731 | 493,655 | 2,270,813 | 3,653,047 | 11,354,065 | 18,265,235 | 84,020,081 | 420,100,405 |
| -1 | -5 | -23 | -37 | -115 | -185 | -851 | -4,255 | -98,731 | -493,655 | -2,270,813 | -3,653,047 | -11,354,065 | -18,265,235 | -84,020,081 | -420,100,405 |
Here are some more numbers to try:
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