A:
Positive:
1 x 4220041217 x 6028630311 x 3836401149 x 861232977 x 548057383 x 5084387539 x 782939581 x 726341913 x 4622174067 x 1037636391 x 660319433 x 44737
Negative:
-1 x -422004121-7 x -60286303-11 x -38364011-49 x -8612329-77 x -5480573-83 x -5084387-539 x -782939-581 x -726341-913 x -462217-4067 x -103763-6391 x -66031-9433 x -44737
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 422,004,121, 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 | 422,004,121 | |
| -1 | -422,004,121 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 422,004,121.
Example:
1 x 422,004,121 = 422,004,121
and
-1 x -422,004,121 = 422,004,121
Notice both answers equal 422,004,121
With that explanation out of the way, let's continue. Next, we take the number 422,004,121 and divide it by 2:
422,004,121 ÷ 2 = 211,002,060.5
If the quotient is a whole number, then 2 and 211,002,060.5 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 | 422,004,121 | |
| -1 | -422,004,121 |
Now, we try dividing 422,004,121 by 3:
422,004,121 ÷ 3 = 140,668,040.3333
If the quotient is a whole number, then 3 and 140,668,040.3333 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 | 422,004,121 | |
| -1 | -422,004,121 |
Let's try dividing by 4:
422,004,121 ÷ 4 = 105,501,030.25
If the quotient is a whole number, then 4 and 105,501,030.25 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 | 422,004,121 | |
| -1 | 422,004,121 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 49 | 77 | 83 | 539 | 581 | 913 | 4,067 | 6,391 | 9,433 | 44,737 | 66,031 | 103,763 | 462,217 | 726,341 | 782,939 | 5,084,387 | 5,480,573 | 8,612,329 | 38,364,011 | 60,286,303 | 422,004,121 |
| -1 | -7 | -11 | -49 | -77 | -83 | -539 | -581 | -913 | -4,067 | -6,391 | -9,433 | -44,737 | -66,031 | -103,763 | -462,217 | -726,341 | -782,939 | -5,084,387 | -5,480,573 | -8,612,329 | -38,364,011 | -60,286,303 | -422,004,121 |
Here are some more numbers to try:
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