A:
Positive:
1 x 7826482097 x 11180688719 x 4119201123 x 34028183133 x 5884573161 x 4861169437 x 17909573059 x 255851
Negative:
-1 x -782648209-7 x -111806887-19 x -41192011-23 x -34028183-133 x -5884573-161 x -4861169-437 x -1790957-3059 x -255851
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 782,648,209, 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 | 782,648,209 | |
| -1 | -782,648,209 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 782,648,209.
Example:
1 x 782,648,209 = 782,648,209
and
-1 x -782,648,209 = 782,648,209
Notice both answers equal 782,648,209
With that explanation out of the way, let's continue. Next, we take the number 782,648,209 and divide it by 2:
782,648,209 ÷ 2 = 391,324,104.5
If the quotient is a whole number, then 2 and 391,324,104.5 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 | 782,648,209 | |
| -1 | -782,648,209 |
Now, we try dividing 782,648,209 by 3:
782,648,209 ÷ 3 = 260,882,736.3333
If the quotient is a whole number, then 3 and 260,882,736.3333 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 | 782,648,209 | |
| -1 | -782,648,209 |
Let's try dividing by 4:
782,648,209 ÷ 4 = 195,662,052.25
If the quotient is a whole number, then 4 and 195,662,052.25 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 | 782,648,209 | |
| -1 | 782,648,209 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 23 | 133 | 161 | 437 | 3,059 | 255,851 | 1,790,957 | 4,861,169 | 5,884,573 | 34,028,183 | 41,192,011 | 111,806,887 | 782,648,209 |
| -1 | -7 | -19 | -23 | -133 | -161 | -437 | -3,059 | -255,851 | -1,790,957 | -4,861,169 | -5,884,573 | -34,028,183 | -41,192,011 | -111,806,887 | -782,648,209 |
Here are some more numbers to try:
Try the factor calculator