A:
Positive:
1 x 2310332297 x 3300474723 x 10044923161 x 1434989199 x 11609711393 x 1658534577 x 504777211 x 32039
Negative:
-1 x -231033229-7 x -33004747-23 x -10044923-161 x -1434989-199 x -1160971-1393 x -165853-4577 x -50477-7211 x -32039
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 231,033,229, 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 | 231,033,229 | |
| -1 | -231,033,229 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 231,033,229.
Example:
1 x 231,033,229 = 231,033,229
and
-1 x -231,033,229 = 231,033,229
Notice both answers equal 231,033,229
With that explanation out of the way, let's continue. Next, we take the number 231,033,229 and divide it by 2:
231,033,229 ÷ 2 = 115,516,614.5
If the quotient is a whole number, then 2 and 115,516,614.5 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 | 231,033,229 | |
| -1 | -231,033,229 |
Now, we try dividing 231,033,229 by 3:
231,033,229 ÷ 3 = 77,011,076.3333
If the quotient is a whole number, then 3 and 77,011,076.3333 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 | 231,033,229 | |
| -1 | -231,033,229 |
Let's try dividing by 4:
231,033,229 ÷ 4 = 57,758,307.25
If the quotient is a whole number, then 4 and 57,758,307.25 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 | 231,033,229 | |
| -1 | 231,033,229 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 161 | 199 | 1,393 | 4,577 | 7,211 | 32,039 | 50,477 | 165,853 | 1,160,971 | 1,434,989 | 10,044,923 | 33,004,747 | 231,033,229 |
| -1 | -7 | -23 | -161 | -199 | -1,393 | -4,577 | -7,211 | -32,039 | -50,477 | -165,853 | -1,160,971 | -1,434,989 | -10,044,923 | -33,004,747 | -231,033,229 |
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