A:
Positive:
1 x 2147173217 x 3067390313 x 1651671791 x 23595311021 x 2103012311 x 929117147 x 3004313273 x 16177
Negative:
-1 x -214717321-7 x -30673903-13 x -16516717-91 x -2359531-1021 x -210301-2311 x -92911-7147 x -30043-13273 x -16177
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 214,717,321, 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 | 214,717,321 | |
| -1 | -214,717,321 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 214,717,321.
Example:
1 x 214,717,321 = 214,717,321
and
-1 x -214,717,321 = 214,717,321
Notice both answers equal 214,717,321
With that explanation out of the way, let's continue. Next, we take the number 214,717,321 and divide it by 2:
214,717,321 ÷ 2 = 107,358,660.5
If the quotient is a whole number, then 2 and 107,358,660.5 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 | 214,717,321 | |
| -1 | -214,717,321 |
Now, we try dividing 214,717,321 by 3:
214,717,321 ÷ 3 = 71,572,440.3333
If the quotient is a whole number, then 3 and 71,572,440.3333 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 | 214,717,321 | |
| -1 | -214,717,321 |
Let's try dividing by 4:
214,717,321 ÷ 4 = 53,679,330.25
If the quotient is a whole number, then 4 and 53,679,330.25 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 | 214,717,321 | |
| -1 | 214,717,321 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 1,021 | 2,311 | 7,147 | 13,273 | 16,177 | 30,043 | 92,911 | 210,301 | 2,359,531 | 16,516,717 | 30,673,903 | 214,717,321 |
| -1 | -7 | -13 | -91 | -1,021 | -2,311 | -7,147 | -13,273 | -16,177 | -30,043 | -92,911 | -210,301 | -2,359,531 | -16,516,717 | -30,673,903 | -214,717,321 |
Here are some more numbers to try:
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