A:
Positive:
1 x 2146231997 x 3066045731 x 692332937 x 5800627217 x 989047259 x 8286611147 x 1871178029 x 26731
Negative:
-1 x -214623199-7 x -30660457-31 x -6923329-37 x -5800627-217 x -989047-259 x -828661-1147 x -187117-8029 x -26731
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 214,623,199, 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 | 214,623,199 | |
| -1 | -214,623,199 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 214,623,199.
Example:
1 x 214,623,199 = 214,623,199
and
-1 x -214,623,199 = 214,623,199
Notice both answers equal 214,623,199
With that explanation out of the way, let's continue. Next, we take the number 214,623,199 and divide it by 2:
214,623,199 ÷ 2 = 107,311,599.5
If the quotient is a whole number, then 2 and 107,311,599.5 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 | 214,623,199 | |
| -1 | -214,623,199 |
Now, we try dividing 214,623,199 by 3:
214,623,199 ÷ 3 = 71,541,066.3333
If the quotient is a whole number, then 3 and 71,541,066.3333 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 | 214,623,199 | |
| -1 | -214,623,199 |
Let's try dividing by 4:
214,623,199 ÷ 4 = 53,655,799.75
If the quotient is a whole number, then 4 and 53,655,799.75 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 | 214,623,199 | |
| -1 | 214,623,199 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 37 | 217 | 259 | 1,147 | 8,029 | 26,731 | 187,117 | 828,661 | 989,047 | 5,800,627 | 6,923,329 | 30,660,457 | 214,623,199 |
| -1 | -7 | -31 | -37 | -217 | -259 | -1,147 | -8,029 | -26,731 | -187,117 | -828,661 | -989,047 | -5,800,627 | -6,923,329 | -30,660,457 | -214,623,199 |
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