A:
Positive:
1 x 7124675355 x 14249350713 x 5480519517 x 4190985565 x 1096103985 x 8381971221 x 32238351105 x 644767
Negative:
-1 x -712467535-5 x -142493507-13 x -54805195-17 x -41909855-65 x -10961039-85 x -8381971-221 x -3223835-1105 x -644767
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 712,467,535, 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 | 712,467,535 | |
| -1 | -712,467,535 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 712,467,535.
Example:
1 x 712,467,535 = 712,467,535
and
-1 x -712,467,535 = 712,467,535
Notice both answers equal 712,467,535
With that explanation out of the way, let's continue. Next, we take the number 712,467,535 and divide it by 2:
712,467,535 ÷ 2 = 356,233,767.5
If the quotient is a whole number, then 2 and 356,233,767.5 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 | 712,467,535 | |
| -1 | -712,467,535 |
Now, we try dividing 712,467,535 by 3:
712,467,535 ÷ 3 = 237,489,178.3333
If the quotient is a whole number, then 3 and 237,489,178.3333 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 | 712,467,535 | |
| -1 | -712,467,535 |
Let's try dividing by 4:
712,467,535 ÷ 4 = 178,116,883.75
If the quotient is a whole number, then 4 and 178,116,883.75 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 | 712,467,535 | |
| -1 | 712,467,535 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 17 | 65 | 85 | 221 | 1,105 | 644,767 | 3,223,835 | 8,381,971 | 10,961,039 | 41,909,855 | 54,805,195 | 142,493,507 | 712,467,535 |
| -1 | -5 | -13 | -17 | -65 | -85 | -221 | -1,105 | -644,767 | -3,223,835 | -8,381,971 | -10,961,039 | -41,909,855 | -54,805,195 | -142,493,507 | -712,467,535 |
Here are some more numbers to try:
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