A:
Positive:
1 x 421465717 x 24792129 x 14533383 x 50779103 x 40919493 x 85491411 x 29871751 x 2407
Negative:
-1 x -4214657-17 x -247921-29 x -145333-83 x -50779-103 x -40919-493 x -8549-1411 x -2987-1751 x -2407
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 4,214,657, 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 | 4,214,657 | |
| -1 | -4,214,657 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 4,214,657.
Example:
1 x 4,214,657 = 4,214,657
and
-1 x -4,214,657 = 4,214,657
Notice both answers equal 4,214,657
With that explanation out of the way, let's continue. Next, we take the number 4,214,657 and divide it by 2:
4,214,657 ÷ 2 = 2,107,328.5
If the quotient is a whole number, then 2 and 2,107,328.5 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 | 4,214,657 | |
| -1 | -4,214,657 |
Now, we try dividing 4,214,657 by 3:
4,214,657 ÷ 3 = 1,404,885.6667
If the quotient is a whole number, then 3 and 1,404,885.6667 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 | 4,214,657 | |
| -1 | -4,214,657 |
Let's try dividing by 4:
4,214,657 ÷ 4 = 1,053,664.25
If the quotient is a whole number, then 4 and 1,053,664.25 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 | 4,214,657 | |
| -1 | 4,214,657 |
If you did it right, you will end up with this table:
| 1 | 17 | 29 | 83 | 103 | 493 | 1,411 | 1,751 | 2,407 | 2,987 | 8,549 | 40,919 | 50,779 | 145,333 | 247,921 | 4,214,657 |
| -1 | -17 | -29 | -83 | -103 | -493 | -1,411 | -1,751 | -2,407 | -2,987 | -8,549 | -40,919 | -50,779 | -145,333 | -247,921 | -4,214,657 |
Here are some more numbers to try:
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