A:
Positive:
1 x 7676844655 x 15353689331 x 24764015155 x 4952803211 x 36383151055 x 7276636541 x 11736523473 x 32705
Negative:
-1 x -767684465-5 x -153536893-31 x -24764015-155 x -4952803-211 x -3638315-1055 x -727663-6541 x -117365-23473 x -32705
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 767,684,465, 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 | 767,684,465 | |
| -1 | -767,684,465 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 767,684,465.
Example:
1 x 767,684,465 = 767,684,465
and
-1 x -767,684,465 = 767,684,465
Notice both answers equal 767,684,465
With that explanation out of the way, let's continue. Next, we take the number 767,684,465 and divide it by 2:
767,684,465 ÷ 2 = 383,842,232.5
If the quotient is a whole number, then 2 and 383,842,232.5 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 | 767,684,465 | |
| -1 | -767,684,465 |
Now, we try dividing 767,684,465 by 3:
767,684,465 ÷ 3 = 255,894,821.6667
If the quotient is a whole number, then 3 and 255,894,821.6667 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 | 767,684,465 | |
| -1 | -767,684,465 |
Let's try dividing by 4:
767,684,465 ÷ 4 = 191,921,116.25
If the quotient is a whole number, then 4 and 191,921,116.25 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 | 767,684,465 | |
| -1 | 767,684,465 |
If you did it right, you will end up with this table:
| 1 | 5 | 31 | 155 | 211 | 1,055 | 6,541 | 23,473 | 32,705 | 117,365 | 727,663 | 3,638,315 | 4,952,803 | 24,764,015 | 153,536,893 | 767,684,465 |
| -1 | -5 | -31 | -155 | -211 | -1,055 | -6,541 | -23,473 | -32,705 | -117,365 | -727,663 | -3,638,315 | -4,952,803 | -24,764,015 | -153,536,893 | -767,684,465 |
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