A:
Positive:
1 x 23503300711 x 2136663717 x 13825471187 x 1256861289 x 8132633179 x 739334349 x 540434913 x 47839
Negative:
-1 x -235033007-11 x -21366637-17 x -13825471-187 x -1256861-289 x -813263-3179 x -73933-4349 x -54043-4913 x -47839
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 235,033,007, 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 | 235,033,007 | |
| -1 | -235,033,007 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 235,033,007.
Example:
1 x 235,033,007 = 235,033,007
and
-1 x -235,033,007 = 235,033,007
Notice both answers equal 235,033,007
With that explanation out of the way, let's continue. Next, we take the number 235,033,007 and divide it by 2:
235,033,007 ÷ 2 = 117,516,503.5
If the quotient is a whole number, then 2 and 117,516,503.5 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 | 235,033,007 | |
| -1 | -235,033,007 |
Now, we try dividing 235,033,007 by 3:
235,033,007 ÷ 3 = 78,344,335.6667
If the quotient is a whole number, then 3 and 78,344,335.6667 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 | 235,033,007 | |
| -1 | -235,033,007 |
Let's try dividing by 4:
235,033,007 ÷ 4 = 58,758,251.75
If the quotient is a whole number, then 4 and 58,758,251.75 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 | 235,033,007 | |
| -1 | 235,033,007 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 187 | 289 | 3,179 | 4,349 | 4,913 | 47,839 | 54,043 | 73,933 | 813,263 | 1,256,861 | 13,825,471 | 21,366,637 | 235,033,007 |
| -1 | -11 | -17 | -187 | -289 | -3,179 | -4,349 | -4,913 | -47,839 | -54,043 | -73,933 | -813,263 | -1,256,861 | -13,825,471 | -21,366,637 | -235,033,007 |
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