A:
Positive:
1 x 1321202337 x 1887431931 x 426194389 x 1484497217 x 608849623 x 2120712759 x 478876841 x 19313
Negative:
-1 x -132120233-7 x -18874319-31 x -4261943-89 x -1484497-217 x -608849-623 x -212071-2759 x -47887-6841 x -19313
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 132,120,233, 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 | 132,120,233 | |
| -1 | -132,120,233 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 132,120,233.
Example:
1 x 132,120,233 = 132,120,233
and
-1 x -132,120,233 = 132,120,233
Notice both answers equal 132,120,233
With that explanation out of the way, let's continue. Next, we take the number 132,120,233 and divide it by 2:
132,120,233 ÷ 2 = 66,060,116.5
If the quotient is a whole number, then 2 and 66,060,116.5 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 | 132,120,233 | |
| -1 | -132,120,233 |
Now, we try dividing 132,120,233 by 3:
132,120,233 ÷ 3 = 44,040,077.6667
If the quotient is a whole number, then 3 and 44,040,077.6667 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 | 132,120,233 | |
| -1 | -132,120,233 |
Let's try dividing by 4:
132,120,233 ÷ 4 = 33,030,058.25
If the quotient is a whole number, then 4 and 33,030,058.25 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 | 132,120,233 | |
| -1 | 132,120,233 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 89 | 217 | 623 | 2,759 | 6,841 | 19,313 | 47,887 | 212,071 | 608,849 | 1,484,497 | 4,261,943 | 18,874,319 | 132,120,233 |
| -1 | -7 | -31 | -89 | -217 | -623 | -2,759 | -6,841 | -19,313 | -47,887 | -212,071 | -608,849 | -1,484,497 | -4,261,943 | -18,874,319 | -132,120,233 |
Here are some more numbers to try:
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