A:
Positive:
1 x 71221314717 x 4189489123 x 30965789173 x 4116839391 x 18215172941 x 2421673979 x 17899310529 x 67643
Negative:
-1 x -712213147-17 x -41894891-23 x -30965789-173 x -4116839-391 x -1821517-2941 x -242167-3979 x -178993-10529 x -67643
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 712,213,147, 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 | 712,213,147 | |
| -1 | -712,213,147 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 712,213,147.
Example:
1 x 712,213,147 = 712,213,147
and
-1 x -712,213,147 = 712,213,147
Notice both answers equal 712,213,147
With that explanation out of the way, let's continue. Next, we take the number 712,213,147 and divide it by 2:
712,213,147 ÷ 2 = 356,106,573.5
If the quotient is a whole number, then 2 and 356,106,573.5 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 | 712,213,147 | |
| -1 | -712,213,147 |
Now, we try dividing 712,213,147 by 3:
712,213,147 ÷ 3 = 237,404,382.3333
If the quotient is a whole number, then 3 and 237,404,382.3333 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 | 712,213,147 | |
| -1 | -712,213,147 |
Let's try dividing by 4:
712,213,147 ÷ 4 = 178,053,286.75
If the quotient is a whole number, then 4 and 178,053,286.75 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 | 712,213,147 | |
| -1 | 712,213,147 |
If you did it right, you will end up with this table:
| 1 | 17 | 23 | 173 | 391 | 2,941 | 3,979 | 10,529 | 67,643 | 178,993 | 242,167 | 1,821,517 | 4,116,839 | 30,965,789 | 41,894,891 | 712,213,147 |
| -1 | -17 | -23 | -173 | -391 | -2,941 | -3,979 | -10,529 | -67,643 | -178,993 | -242,167 | -1,821,517 | -4,116,839 | -30,965,789 | -41,894,891 | -712,213,147 |
Here are some more numbers to try:
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