A:
Positive:
1 x 2330252055 x 466050417 x 3328931517 x 1370736535 x 665786385 x 2741473119 x 1958195595 x 391639
Negative:
-1 x -233025205-5 x -46605041-7 x -33289315-17 x -13707365-35 x -6657863-85 x -2741473-119 x -1958195-595 x -391639
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 233,025,205, 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 | 233,025,205 | |
| -1 | -233,025,205 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 233,025,205.
Example:
1 x 233,025,205 = 233,025,205
and
-1 x -233,025,205 = 233,025,205
Notice both answers equal 233,025,205
With that explanation out of the way, let's continue. Next, we take the number 233,025,205 and divide it by 2:
233,025,205 ÷ 2 = 116,512,602.5
If the quotient is a whole number, then 2 and 116,512,602.5 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 | 233,025,205 | |
| -1 | -233,025,205 |
Now, we try dividing 233,025,205 by 3:
233,025,205 ÷ 3 = 77,675,068.3333
If the quotient is a whole number, then 3 and 77,675,068.3333 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 | 233,025,205 | |
| -1 | -233,025,205 |
Let's try dividing by 4:
233,025,205 ÷ 4 = 58,256,301.25
If the quotient is a whole number, then 4 and 58,256,301.25 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 | 233,025,205 | |
| -1 | 233,025,205 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 17 | 35 | 85 | 119 | 595 | 391,639 | 1,958,195 | 2,741,473 | 6,657,863 | 13,707,365 | 33,289,315 | 46,605,041 | 233,025,205 |
| -1 | -5 | -7 | -17 | -35 | -85 | -119 | -595 | -391,639 | -1,958,195 | -2,741,473 | -6,657,863 | -13,707,365 | -33,289,315 | -46,605,041 | -233,025,205 |
Here are some more numbers to try:
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