A:
Positive:
1 x 4130302197 x 5900431747 x 878787753 x 7793023329 x 1255411371 x 11132892491 x 16580917437 x 23687
Negative:
-1 x -413030219-7 x -59004317-47 x -8787877-53 x -7793023-329 x -1255411-371 x -1113289-2491 x -165809-17437 x -23687
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 413,030,219, 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 | 413,030,219 | |
| -1 | -413,030,219 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 413,030,219.
Example:
1 x 413,030,219 = 413,030,219
and
-1 x -413,030,219 = 413,030,219
Notice both answers equal 413,030,219
With that explanation out of the way, let's continue. Next, we take the number 413,030,219 and divide it by 2:
413,030,219 ÷ 2 = 206,515,109.5
If the quotient is a whole number, then 2 and 206,515,109.5 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 | 413,030,219 | |
| -1 | -413,030,219 |
Now, we try dividing 413,030,219 by 3:
413,030,219 ÷ 3 = 137,676,739.6667
If the quotient is a whole number, then 3 and 137,676,739.6667 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 | 413,030,219 | |
| -1 | -413,030,219 |
Let's try dividing by 4:
413,030,219 ÷ 4 = 103,257,554.75
If the quotient is a whole number, then 4 and 103,257,554.75 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 | 413,030,219 | |
| -1 | 413,030,219 |
If you did it right, you will end up with this table:
| 1 | 7 | 47 | 53 | 329 | 371 | 2,491 | 17,437 | 23,687 | 165,809 | 1,113,289 | 1,255,411 | 7,793,023 | 8,787,877 | 59,004,317 | 413,030,219 |
| -1 | -7 | -47 | -53 | -329 | -371 | -2,491 | -17,437 | -23,687 | -165,809 | -1,113,289 | -1,255,411 | -7,793,023 | -8,787,877 | -59,004,317 | -413,030,219 |
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