A:
Positive:
1 x 23202130913 x 1784779323 x 1008788389 x 2606981299 x 7759911157 x 2005372047 x 1133478719 x 26611
Negative:
-1 x -232021309-13 x -17847793-23 x -10087883-89 x -2606981-299 x -775991-1157 x -200537-2047 x -113347-8719 x -26611
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 232,021,309, 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 | 232,021,309 | |
| -1 | -232,021,309 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 232,021,309.
Example:
1 x 232,021,309 = 232,021,309
and
-1 x -232,021,309 = 232,021,309
Notice both answers equal 232,021,309
With that explanation out of the way, let's continue. Next, we take the number 232,021,309 and divide it by 2:
232,021,309 ÷ 2 = 116,010,654.5
If the quotient is a whole number, then 2 and 116,010,654.5 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 | 232,021,309 | |
| -1 | -232,021,309 |
Now, we try dividing 232,021,309 by 3:
232,021,309 ÷ 3 = 77,340,436.3333
If the quotient is a whole number, then 3 and 77,340,436.3333 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 | 232,021,309 | |
| -1 | -232,021,309 |
Let's try dividing by 4:
232,021,309 ÷ 4 = 58,005,327.25
If the quotient is a whole number, then 4 and 58,005,327.25 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 | 232,021,309 | |
| -1 | 232,021,309 |
If you did it right, you will end up with this table:
| 1 | 13 | 23 | 89 | 299 | 1,157 | 2,047 | 8,719 | 26,611 | 113,347 | 200,537 | 775,991 | 2,606,981 | 10,087,883 | 17,847,793 | 232,021,309 |
| -1 | -13 | -23 | -89 | -299 | -1,157 | -2,047 | -8,719 | -26,611 | -113,347 | -200,537 | -775,991 | -2,606,981 | -10,087,883 | -17,847,793 | -232,021,309 |
Here are some more numbers to try:
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