A:
Positive:
1 x 7684154177 x 10977363111 x 6985594777 x 9979421919 x 8361436433 x 11944910109 x 7601310859 x 70763
Negative:
-1 x -768415417-7 x -109773631-11 x -69855947-77 x -9979421-919 x -836143-6433 x -119449-10109 x -76013-10859 x -70763
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 768,415,417, 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 | 768,415,417 | |
| -1 | -768,415,417 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 768,415,417.
Example:
1 x 768,415,417 = 768,415,417
and
-1 x -768,415,417 = 768,415,417
Notice both answers equal 768,415,417
With that explanation out of the way, let's continue. Next, we take the number 768,415,417 and divide it by 2:
768,415,417 ÷ 2 = 384,207,708.5
If the quotient is a whole number, then 2 and 384,207,708.5 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 | 768,415,417 | |
| -1 | -768,415,417 |
Now, we try dividing 768,415,417 by 3:
768,415,417 ÷ 3 = 256,138,472.3333
If the quotient is a whole number, then 3 and 256,138,472.3333 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 | 768,415,417 | |
| -1 | -768,415,417 |
Let's try dividing by 4:
768,415,417 ÷ 4 = 192,103,854.25
If the quotient is a whole number, then 4 and 192,103,854.25 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 | 768,415,417 | |
| -1 | 768,415,417 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 919 | 6,433 | 10,109 | 10,859 | 70,763 | 76,013 | 119,449 | 836,143 | 9,979,421 | 69,855,947 | 109,773,631 | 768,415,417 |
| -1 | -7 | -11 | -77 | -919 | -6,433 | -10,109 | -10,859 | -70,763 | -76,013 | -119,449 | -836,143 | -9,979,421 | -69,855,947 | -109,773,631 | -768,415,417 |
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