A:
Positive:
1 x 5122222077 x 7317460131 x 16523297101 x 5071507217 x 2360471707 x 7245013131 x 16359721917 x 23371
Negative:
-1 x -512222207-7 x -73174601-31 x -16523297-101 x -5071507-217 x -2360471-707 x -724501-3131 x -163597-21917 x -23371
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 512,222,207, 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 | 512,222,207 | |
| -1 | -512,222,207 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 512,222,207.
Example:
1 x 512,222,207 = 512,222,207
and
-1 x -512,222,207 = 512,222,207
Notice both answers equal 512,222,207
With that explanation out of the way, let's continue. Next, we take the number 512,222,207 and divide it by 2:
512,222,207 ÷ 2 = 256,111,103.5
If the quotient is a whole number, then 2 and 256,111,103.5 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 | 512,222,207 | |
| -1 | -512,222,207 |
Now, we try dividing 512,222,207 by 3:
512,222,207 ÷ 3 = 170,740,735.6667
If the quotient is a whole number, then 3 and 170,740,735.6667 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 | 512,222,207 | |
| -1 | -512,222,207 |
Let's try dividing by 4:
512,222,207 ÷ 4 = 128,055,551.75
If the quotient is a whole number, then 4 and 128,055,551.75 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 | 512,222,207 | |
| -1 | 512,222,207 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 101 | 217 | 707 | 3,131 | 21,917 | 23,371 | 163,597 | 724,501 | 2,360,471 | 5,071,507 | 16,523,297 | 73,174,601 | 512,222,207 |
| -1 | -7 | -31 | -101 | -217 | -707 | -3,131 | -21,917 | -23,371 | -163,597 | -724,501 | -2,360,471 | -5,071,507 | -16,523,297 | -73,174,601 | -512,222,207 |
Here are some more numbers to try:
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