A:
Positive:
1 x 213551055 x 427102137 x 57716589 x 239945185 x 115433445 x 479891297 x 164653293 x 6485
Negative:
-1 x -21355105-5 x -4271021-37 x -577165-89 x -239945-185 x -115433-445 x -47989-1297 x -16465-3293 x -6485
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 21,355,105, 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 | 21,355,105 | |
| -1 | -21,355,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 21,355,105.
Example:
1 x 21,355,105 = 21,355,105
and
-1 x -21,355,105 = 21,355,105
Notice both answers equal 21,355,105
With that explanation out of the way, let's continue. Next, we take the number 21,355,105 and divide it by 2:
21,355,105 ÷ 2 = 10,677,552.5
If the quotient is a whole number, then 2 and 10,677,552.5 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 | 21,355,105 | |
| -1 | -21,355,105 |
Now, we try dividing 21,355,105 by 3:
21,355,105 ÷ 3 = 7,118,368.3333
If the quotient is a whole number, then 3 and 7,118,368.3333 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 | 21,355,105 | |
| -1 | -21,355,105 |
Let's try dividing by 4:
21,355,105 ÷ 4 = 5,338,776.25
If the quotient is a whole number, then 4 and 5,338,776.25 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 | 21,355,105 | |
| -1 | 21,355,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 37 | 89 | 185 | 445 | 1,297 | 3,293 | 6,485 | 16,465 | 47,989 | 115,433 | 239,945 | 577,165 | 4,271,021 | 21,355,105 |
| -1 | -5 | -37 | -89 | -185 | -445 | -1,297 | -3,293 | -6,485 | -16,465 | -47,989 | -115,433 | -239,945 | -577,165 | -4,271,021 | -21,355,105 |
Here are some more numbers to try:
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