A:
Positive:
1 x 23348782719 x 1228883397 x 2407091151 x 1546277839 x 2782931843 x 1266892869 x 8138314647 x 15941
Negative:
-1 x -233487827-19 x -12288833-97 x -2407091-151 x -1546277-839 x -278293-1843 x -126689-2869 x -81383-14647 x -15941
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 233,487,827, 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 | 233,487,827 | |
| -1 | -233,487,827 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 233,487,827.
Example:
1 x 233,487,827 = 233,487,827
and
-1 x -233,487,827 = 233,487,827
Notice both answers equal 233,487,827
With that explanation out of the way, let's continue. Next, we take the number 233,487,827 and divide it by 2:
233,487,827 ÷ 2 = 116,743,913.5
If the quotient is a whole number, then 2 and 116,743,913.5 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 | 233,487,827 | |
| -1 | -233,487,827 |
Now, we try dividing 233,487,827 by 3:
233,487,827 ÷ 3 = 77,829,275.6667
If the quotient is a whole number, then 3 and 77,829,275.6667 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 | 233,487,827 | |
| -1 | -233,487,827 |
Let's try dividing by 4:
233,487,827 ÷ 4 = 58,371,956.75
If the quotient is a whole number, then 4 and 58,371,956.75 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 | 233,487,827 | |
| -1 | 233,487,827 |
If you did it right, you will end up with this table:
| 1 | 19 | 97 | 151 | 839 | 1,843 | 2,869 | 14,647 | 15,941 | 81,383 | 126,689 | 278,293 | 1,546,277 | 2,407,091 | 12,288,833 | 233,487,827 |
| -1 | -19 | -97 | -151 | -839 | -1,843 | -2,869 | -14,647 | -15,941 | -81,383 | -126,689 | -278,293 | -1,546,277 | -2,407,091 | -12,288,833 | -233,487,827 |
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