A:
Positive:
1 x 7121201297 x 101731447157 x 4535797577 x 12341771099 x 6479711123 x 6341234039 x 1763117861 x 90589
Negative:
-1 x -712120129-7 x -101731447-157 x -4535797-577 x -1234177-1099 x -647971-1123 x -634123-4039 x -176311-7861 x -90589
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 712,120,129, 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 | 712,120,129 | |
| -1 | -712,120,129 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 712,120,129.
Example:
1 x 712,120,129 = 712,120,129
and
-1 x -712,120,129 = 712,120,129
Notice both answers equal 712,120,129
With that explanation out of the way, let's continue. Next, we take the number 712,120,129 and divide it by 2:
712,120,129 ÷ 2 = 356,060,064.5
If the quotient is a whole number, then 2 and 356,060,064.5 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 | 712,120,129 | |
| -1 | -712,120,129 |
Now, we try dividing 712,120,129 by 3:
712,120,129 ÷ 3 = 237,373,376.3333
If the quotient is a whole number, then 3 and 237,373,376.3333 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 | 712,120,129 | |
| -1 | -712,120,129 |
Let's try dividing by 4:
712,120,129 ÷ 4 = 178,030,032.25
If the quotient is a whole number, then 4 and 178,030,032.25 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 | 712,120,129 | |
| -1 | 712,120,129 |
If you did it right, you will end up with this table:
| 1 | 7 | 157 | 577 | 1,099 | 1,123 | 4,039 | 7,861 | 90,589 | 176,311 | 634,123 | 647,971 | 1,234,177 | 4,535,797 | 101,731,447 | 712,120,129 |
| -1 | -7 | -157 | -577 | -1,099 | -1,123 | -4,039 | -7,861 | -90,589 | -176,311 | -634,123 | -647,971 | -1,234,177 | -4,535,797 | -101,731,447 | -712,120,129 |
Here are some more numbers to try:
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