A:
Positive:
1 x 42420010923 x 1844348397 x 4373197107 x 39644871777 x 2387172231 x 1901392461 x 17236910379 x 40871
Negative:
-1 x -424200109-23 x -18443483-97 x -4373197-107 x -3964487-1777 x -238717-2231 x -190139-2461 x -172369-10379 x -40871
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 424,200,109, 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 | 424,200,109 | |
| -1 | -424,200,109 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 424,200,109.
Example:
1 x 424,200,109 = 424,200,109
and
-1 x -424,200,109 = 424,200,109
Notice both answers equal 424,200,109
With that explanation out of the way, let's continue. Next, we take the number 424,200,109 and divide it by 2:
424,200,109 ÷ 2 = 212,100,054.5
If the quotient is a whole number, then 2 and 212,100,054.5 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 | 424,200,109 | |
| -1 | -424,200,109 |
Now, we try dividing 424,200,109 by 3:
424,200,109 ÷ 3 = 141,400,036.3333
If the quotient is a whole number, then 3 and 141,400,036.3333 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 | 424,200,109 | |
| -1 | -424,200,109 |
Let's try dividing by 4:
424,200,109 ÷ 4 = 106,050,027.25
If the quotient is a whole number, then 4 and 106,050,027.25 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 | 424,200,109 | |
| -1 | 424,200,109 |
If you did it right, you will end up with this table:
| 1 | 23 | 97 | 107 | 1,777 | 2,231 | 2,461 | 10,379 | 40,871 | 172,369 | 190,139 | 238,717 | 3,964,487 | 4,373,197 | 18,443,483 | 424,200,109 |
| -1 | -23 | -97 | -107 | -1,777 | -2,231 | -2,461 | -10,379 | -40,871 | -172,369 | -190,139 | -238,717 | -3,964,487 | -4,373,197 | -18,443,483 | -424,200,109 |
Here are some more numbers to try:
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