A:
Positive:
1 x 23531302311 x 2139209323 x 10231001253 x 930091641 x 3671031451 x 1621737051 x 3337314743 x 15961
Negative:
-1 x -235313023-11 x -21392093-23 x -10231001-253 x -930091-641 x -367103-1451 x -162173-7051 x -33373-14743 x -15961
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 235,313,023, 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 | 235,313,023 | |
| -1 | -235,313,023 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 235,313,023.
Example:
1 x 235,313,023 = 235,313,023
and
-1 x -235,313,023 = 235,313,023
Notice both answers equal 235,313,023
With that explanation out of the way, let's continue. Next, we take the number 235,313,023 and divide it by 2:
235,313,023 ÷ 2 = 117,656,511.5
If the quotient is a whole number, then 2 and 117,656,511.5 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 | 235,313,023 | |
| -1 | -235,313,023 |
Now, we try dividing 235,313,023 by 3:
235,313,023 ÷ 3 = 78,437,674.3333
If the quotient is a whole number, then 3 and 78,437,674.3333 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 | 235,313,023 | |
| -1 | -235,313,023 |
Let's try dividing by 4:
235,313,023 ÷ 4 = 58,828,255.75
If the quotient is a whole number, then 4 and 58,828,255.75 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 | 235,313,023 | |
| -1 | 235,313,023 |
If you did it right, you will end up with this table:
| 1 | 11 | 23 | 253 | 641 | 1,451 | 7,051 | 14,743 | 15,961 | 33,373 | 162,173 | 367,103 | 930,091 | 10,231,001 | 21,392,093 | 235,313,023 |
| -1 | -11 | -23 | -253 | -641 | -1,451 | -7,051 | -14,743 | -15,961 | -33,373 | -162,173 | -367,103 | -930,091 | -10,231,001 | -21,392,093 | -235,313,023 |
Here are some more numbers to try:
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