A:
Positive:
1 x 756720237 x 1081028931 x 244103349 x 1544327217 x 348719961 x 787431519 x 498171607 x 470896727 x 11249
Negative:
-1 x -75672023-7 x -10810289-31 x -2441033-49 x -1544327-217 x -348719-961 x -78743-1519 x -49817-1607 x -47089-6727 x -11249
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 75,672,023, 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 | 75,672,023 | |
| -1 | -75,672,023 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 75,672,023.
Example:
1 x 75,672,023 = 75,672,023
and
-1 x -75,672,023 = 75,672,023
Notice both answers equal 75,672,023
With that explanation out of the way, let's continue. Next, we take the number 75,672,023 and divide it by 2:
75,672,023 ÷ 2 = 37,836,011.5
If the quotient is a whole number, then 2 and 37,836,011.5 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 | 75,672,023 | |
| -1 | -75,672,023 |
Now, we try dividing 75,672,023 by 3:
75,672,023 ÷ 3 = 25,224,007.6667
If the quotient is a whole number, then 3 and 25,224,007.6667 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 | 75,672,023 | |
| -1 | -75,672,023 |
Let's try dividing by 4:
75,672,023 ÷ 4 = 18,918,005.75
If the quotient is a whole number, then 4 and 18,918,005.75 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 | 75,672,023 | |
| -1 | 75,672,023 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 49 | 217 | 961 | 1,519 | 1,607 | 6,727 | 11,249 | 47,089 | 49,817 | 78,743 | 348,719 | 1,544,327 | 2,441,033 | 10,810,289 | 75,672,023 |
| -1 | -7 | -31 | -49 | -217 | -961 | -1,519 | -1,607 | -6,727 | -11,249 | -47,089 | -49,817 | -78,743 | -348,719 | -1,544,327 | -2,441,033 | -10,810,289 | -75,672,023 |
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