A:
Positive:
1 x 42161217 x 60230313 x 32431791 x 46331107 x 39403433 x 9737749 x 56291391 x 3031
Negative:
-1 x -4216121-7 x -602303-13 x -324317-91 x -46331-107 x -39403-433 x -9737-749 x -5629-1391 x -3031
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 4,216,121, 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 | 4,216,121 | |
| -1 | -4,216,121 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 4,216,121.
Example:
1 x 4,216,121 = 4,216,121
and
-1 x -4,216,121 = 4,216,121
Notice both answers equal 4,216,121
With that explanation out of the way, let's continue. Next, we take the number 4,216,121 and divide it by 2:
4,216,121 ÷ 2 = 2,108,060.5
If the quotient is a whole number, then 2 and 2,108,060.5 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 | 4,216,121 | |
| -1 | -4,216,121 |
Now, we try dividing 4,216,121 by 3:
4,216,121 ÷ 3 = 1,405,373.6667
If the quotient is a whole number, then 3 and 1,405,373.6667 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 | 4,216,121 | |
| -1 | -4,216,121 |
Let's try dividing by 4:
4,216,121 ÷ 4 = 1,054,030.25
If the quotient is a whole number, then 4 and 1,054,030.25 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 | 4,216,121 | |
| -1 | 4,216,121 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 107 | 433 | 749 | 1,391 | 3,031 | 5,629 | 9,737 | 39,403 | 46,331 | 324,317 | 602,303 | 4,216,121 |
| -1 | -7 | -13 | -91 | -107 | -433 | -749 | -1,391 | -3,031 | -5,629 | -9,737 | -39,403 | -46,331 | -324,317 | -602,303 | -4,216,121 |
Here are some more numbers to try:
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