A:
Positive:
1 x 2330233017 x 3328904317 x 13707253119 x 1958179229 x 1017569289 x 806309503 x 4632671603 x 1453672023 x 1151873521 x 661813893 x 598578551 x 27251
Negative:
-1 x -233023301-7 x -33289043-17 x -13707253-119 x -1958179-229 x -1017569-289 x -806309-503 x -463267-1603 x -145367-2023 x -115187-3521 x -66181-3893 x -59857-8551 x -27251
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 233,023,301, 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 | 233,023,301 | |
| -1 | -233,023,301 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 233,023,301.
Example:
1 x 233,023,301 = 233,023,301
and
-1 x -233,023,301 = 233,023,301
Notice both answers equal 233,023,301
With that explanation out of the way, let's continue. Next, we take the number 233,023,301 and divide it by 2:
233,023,301 ÷ 2 = 116,511,650.5
If the quotient is a whole number, then 2 and 116,511,650.5 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 | 233,023,301 | |
| -1 | -233,023,301 |
Now, we try dividing 233,023,301 by 3:
233,023,301 ÷ 3 = 77,674,433.6667
If the quotient is a whole number, then 3 and 77,674,433.6667 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 | 233,023,301 | |
| -1 | -233,023,301 |
Let's try dividing by 4:
233,023,301 ÷ 4 = 58,255,825.25
If the quotient is a whole number, then 4 and 58,255,825.25 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 | 233,023,301 | |
| -1 | 233,023,301 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 119 | 229 | 289 | 503 | 1,603 | 2,023 | 3,521 | 3,893 | 8,551 | 27,251 | 59,857 | 66,181 | 115,187 | 145,367 | 463,267 | 806,309 | 1,017,569 | 1,958,179 | 13,707,253 | 33,289,043 | 233,023,301 |
| -1 | -7 | -17 | -119 | -229 | -289 | -503 | -1,603 | -2,023 | -3,521 | -3,893 | -8,551 | -27,251 | -59,857 | -66,181 | -115,187 | -145,367 | -463,267 | -806,309 | -1,017,569 | -1,958,179 | -13,707,253 | -33,289,043 | -233,023,301 |
Here are some more numbers to try:
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