A:
Positive:
1 x 5176220217 x 7394600371 x 7290451443 x 1168447497 x 10414932351 x 2201713101 x 16692116457 x 31453
Negative:
-1 x -517622021-7 x -73946003-71 x -7290451-443 x -1168447-497 x -1041493-2351 x -220171-3101 x -166921-16457 x -31453
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 517,622,021, 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 | 517,622,021 | |
| -1 | -517,622,021 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 517,622,021.
Example:
1 x 517,622,021 = 517,622,021
and
-1 x -517,622,021 = 517,622,021
Notice both answers equal 517,622,021
With that explanation out of the way, let's continue. Next, we take the number 517,622,021 and divide it by 2:
517,622,021 ÷ 2 = 258,811,010.5
If the quotient is a whole number, then 2 and 258,811,010.5 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 | 517,622,021 | |
| -1 | -517,622,021 |
Now, we try dividing 517,622,021 by 3:
517,622,021 ÷ 3 = 172,540,673.6667
If the quotient is a whole number, then 3 and 172,540,673.6667 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 | 517,622,021 | |
| -1 | -517,622,021 |
Let's try dividing by 4:
517,622,021 ÷ 4 = 129,405,505.25
If the quotient is a whole number, then 4 and 129,405,505.25 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 | 517,622,021 | |
| -1 | 517,622,021 |
If you did it right, you will end up with this table:
| 1 | 7 | 71 | 443 | 497 | 2,351 | 3,101 | 16,457 | 31,453 | 166,921 | 220,171 | 1,041,493 | 1,168,447 | 7,290,451 | 73,946,003 | 517,622,021 |
| -1 | -7 | -71 | -443 | -497 | -2,351 | -3,101 | -16,457 | -31,453 | -166,921 | -220,171 | -1,041,493 | -1,168,447 | -7,290,451 | -73,946,003 | -517,622,021 |
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