A:
Positive:
1 x 214114155 x 428228317 x 125949585 x 251899109 x 196435545 x 392871853 x 115552311 x 9265
Negative:
-1 x -21411415-5 x -4282283-17 x -1259495-85 x -251899-109 x -196435-545 x -39287-1853 x -11555-2311 x -9265
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 21,411,415, 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 | 21,411,415 | |
| -1 | -21,411,415 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 21,411,415.
Example:
1 x 21,411,415 = 21,411,415
and
-1 x -21,411,415 = 21,411,415
Notice both answers equal 21,411,415
With that explanation out of the way, let's continue. Next, we take the number 21,411,415 and divide it by 2:
21,411,415 ÷ 2 = 10,705,707.5
If the quotient is a whole number, then 2 and 10,705,707.5 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 | 21,411,415 | |
| -1 | -21,411,415 |
Now, we try dividing 21,411,415 by 3:
21,411,415 ÷ 3 = 7,137,138.3333
If the quotient is a whole number, then 3 and 7,137,138.3333 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 | 21,411,415 | |
| -1 | -21,411,415 |
Let's try dividing by 4:
21,411,415 ÷ 4 = 5,352,853.75
If the quotient is a whole number, then 4 and 5,352,853.75 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 | 21,411,415 | |
| -1 | 21,411,415 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 85 | 109 | 545 | 1,853 | 2,311 | 9,265 | 11,555 | 39,287 | 196,435 | 251,899 | 1,259,495 | 4,282,283 | 21,411,415 |
| -1 | -5 | -17 | -85 | -109 | -545 | -1,853 | -2,311 | -9,265 | -11,555 | -39,287 | -196,435 | -251,899 | -1,259,495 | -4,282,283 | -21,411,415 |
Here are some more numbers to try:
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