A:
Positive:
1 x 23214040311 x 2110367323 x 10093061253 x 917551773 x 3003111187 x 1955698503 x 2730113057 x 17779
Negative:
-1 x -232140403-11 x -21103673-23 x -10093061-253 x -917551-773 x -300311-1187 x -195569-8503 x -27301-13057 x -17779
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 232,140,403, 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 | 232,140,403 | |
| -1 | -232,140,403 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 232,140,403.
Example:
1 x 232,140,403 = 232,140,403
and
-1 x -232,140,403 = 232,140,403
Notice both answers equal 232,140,403
With that explanation out of the way, let's continue. Next, we take the number 232,140,403 and divide it by 2:
232,140,403 ÷ 2 = 116,070,201.5
If the quotient is a whole number, then 2 and 116,070,201.5 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 | 232,140,403 | |
| -1 | -232,140,403 |
Now, we try dividing 232,140,403 by 3:
232,140,403 ÷ 3 = 77,380,134.3333
If the quotient is a whole number, then 3 and 77,380,134.3333 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 | 232,140,403 | |
| -1 | -232,140,403 |
Let's try dividing by 4:
232,140,403 ÷ 4 = 58,035,100.75
If the quotient is a whole number, then 4 and 58,035,100.75 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 | 232,140,403 | |
| -1 | 232,140,403 |
If you did it right, you will end up with this table:
| 1 | 11 | 23 | 253 | 773 | 1,187 | 8,503 | 13,057 | 17,779 | 27,301 | 195,569 | 300,311 | 917,551 | 10,093,061 | 21,103,673 | 232,140,403 |
| -1 | -11 | -23 | -253 | -773 | -1,187 | -8,503 | -13,057 | -17,779 | -27,301 | -195,569 | -300,311 | -917,551 | -10,093,061 | -21,103,673 | -232,140,403 |
Here are some more numbers to try:
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