A:
Positive:
1 x 42150055 x 84300129 x 14534541 x 102805145 x 29069205 x 20561709 x 59451189 x 3545
Negative:
-1 x -4215005-5 x -843001-29 x -145345-41 x -102805-145 x -29069-205 x -20561-709 x -5945-1189 x -3545
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 4,215,005, 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 | 4,215,005 | |
| -1 | -4,215,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 4,215,005.
Example:
1 x 4,215,005 = 4,215,005
and
-1 x -4,215,005 = 4,215,005
Notice both answers equal 4,215,005
With that explanation out of the way, let's continue. Next, we take the number 4,215,005 and divide it by 2:
4,215,005 ÷ 2 = 2,107,502.5
If the quotient is a whole number, then 2 and 2,107,502.5 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 | 4,215,005 | |
| -1 | -4,215,005 |
Now, we try dividing 4,215,005 by 3:
4,215,005 ÷ 3 = 1,405,001.6667
If the quotient is a whole number, then 3 and 1,405,001.6667 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 | 4,215,005 | |
| -1 | -4,215,005 |
Let's try dividing by 4:
4,215,005 ÷ 4 = 1,053,751.25
If the quotient is a whole number, then 4 and 1,053,751.25 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 | 4,215,005 | |
| -1 | 4,215,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 29 | 41 | 145 | 205 | 709 | 1,189 | 3,545 | 5,945 | 20,561 | 29,069 | 102,805 | 145,345 | 843,001 | 4,215,005 |
| -1 | -5 | -29 | -41 | -145 | -205 | -709 | -1,189 | -3,545 | -5,945 | -20,561 | -29,069 | -102,805 | -145,345 | -843,001 | -4,215,005 |
Here are some more numbers to try:
Try the factor calculator