A:
Positive:
1 x 7677276677 x 10967538117 x 45160451119 x 6451493367 x 20919012569 x 2988436239 x 12305317579 x 43673
Negative:
-1 x -767727667-7 x -109675381-17 x -45160451-119 x -6451493-367 x -2091901-2569 x -298843-6239 x -123053-17579 x -43673
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 767,727,667, 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 | 767,727,667 | |
| -1 | -767,727,667 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 767,727,667.
Example:
1 x 767,727,667 = 767,727,667
and
-1 x -767,727,667 = 767,727,667
Notice both answers equal 767,727,667
With that explanation out of the way, let's continue. Next, we take the number 767,727,667 and divide it by 2:
767,727,667 ÷ 2 = 383,863,833.5
If the quotient is a whole number, then 2 and 383,863,833.5 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 | 767,727,667 | |
| -1 | -767,727,667 |
Now, we try dividing 767,727,667 by 3:
767,727,667 ÷ 3 = 255,909,222.3333
If the quotient is a whole number, then 3 and 255,909,222.3333 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 | 767,727,667 | |
| -1 | -767,727,667 |
Let's try dividing by 4:
767,727,667 ÷ 4 = 191,931,916.75
If the quotient is a whole number, then 4 and 191,931,916.75 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 | 767,727,667 | |
| -1 | 767,727,667 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 119 | 367 | 2,569 | 6,239 | 17,579 | 43,673 | 123,053 | 298,843 | 2,091,901 | 6,451,493 | 45,160,451 | 109,675,381 | 767,727,667 |
| -1 | -7 | -17 | -119 | -367 | -2,569 | -6,239 | -17,579 | -43,673 | -123,053 | -298,843 | -2,091,901 | -6,451,493 | -45,160,451 | -109,675,381 | -767,727,667 |
Here are some more numbers to try:
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