A:
Positive:
1 x 7171252277 x 10244646113 x 5516347919 x 3774343391 x 7880497133 x 5391919247 x 29033411729 x 414763
Negative:
-1 x -717125227-7 x -102446461-13 x -55163479-19 x -37743433-91 x -7880497-133 x -5391919-247 x -2903341-1729 x -414763
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 717,125,227, 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 | 717,125,227 | |
| -1 | -717,125,227 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 717,125,227.
Example:
1 x 717,125,227 = 717,125,227
and
-1 x -717,125,227 = 717,125,227
Notice both answers equal 717,125,227
With that explanation out of the way, let's continue. Next, we take the number 717,125,227 and divide it by 2:
717,125,227 ÷ 2 = 358,562,613.5
If the quotient is a whole number, then 2 and 358,562,613.5 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 | 717,125,227 | |
| -1 | -717,125,227 |
Now, we try dividing 717,125,227 by 3:
717,125,227 ÷ 3 = 239,041,742.3333
If the quotient is a whole number, then 3 and 239,041,742.3333 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 | 717,125,227 | |
| -1 | -717,125,227 |
Let's try dividing by 4:
717,125,227 ÷ 4 = 179,281,306.75
If the quotient is a whole number, then 4 and 179,281,306.75 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 | 717,125,227 | |
| -1 | 717,125,227 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 19 | 91 | 133 | 247 | 1,729 | 414,763 | 2,903,341 | 5,391,919 | 7,880,497 | 37,743,433 | 55,163,479 | 102,446,461 | 717,125,227 |
| -1 | -7 | -13 | -19 | -91 | -133 | -247 | -1,729 | -414,763 | -2,903,341 | -5,391,919 | -7,880,497 | -37,743,433 | -55,163,479 | -102,446,461 | -717,125,227 |
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