A:
Positive:
1 x 2141114055 x 4282228143 x 4979335215 x 995867677 x 3162651471 x 1455553385 x 632537355 x 29111
Negative:
-1 x -214111405-5 x -42822281-43 x -4979335-215 x -995867-677 x -316265-1471 x -145555-3385 x -63253-7355 x -29111
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 214,111,405, 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 | 214,111,405 | |
| -1 | -214,111,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 214,111,405.
Example:
1 x 214,111,405 = 214,111,405
and
-1 x -214,111,405 = 214,111,405
Notice both answers equal 214,111,405
With that explanation out of the way, let's continue. Next, we take the number 214,111,405 and divide it by 2:
214,111,405 ÷ 2 = 107,055,702.5
If the quotient is a whole number, then 2 and 107,055,702.5 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 | 214,111,405 | |
| -1 | -214,111,405 |
Now, we try dividing 214,111,405 by 3:
214,111,405 ÷ 3 = 71,370,468.3333
If the quotient is a whole number, then 3 and 71,370,468.3333 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 | 214,111,405 | |
| -1 | -214,111,405 |
Let's try dividing by 4:
214,111,405 ÷ 4 = 53,527,851.25
If the quotient is a whole number, then 4 and 53,527,851.25 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 | 214,111,405 | |
| -1 | 214,111,405 |
If you did it right, you will end up with this table:
| 1 | 5 | 43 | 215 | 677 | 1,471 | 3,385 | 7,355 | 29,111 | 63,253 | 145,555 | 316,265 | 995,867 | 4,979,335 | 42,822,281 | 214,111,405 |
| -1 | -5 | -43 | -215 | -677 | -1,471 | -3,385 | -7,355 | -29,111 | -63,253 | -145,555 | -316,265 | -995,867 | -4,979,335 | -42,822,281 | -214,111,405 |
Here are some more numbers to try:
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