A:
Positive:
1 x 2323312255 x 464662457 x 3319017525 x 929324935 x 6638035175 x 1327607811 x 2864751637 x 1419254055 x 572955677 x 409258185 x 2838511459 x 20275
Negative:
-1 x -232331225-5 x -46466245-7 x -33190175-25 x -9293249-35 x -6638035-175 x -1327607-811 x -286475-1637 x -141925-4055 x -57295-5677 x -40925-8185 x -28385-11459 x -20275
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 232,331,225, 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 | 232,331,225 | |
| -1 | -232,331,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 232,331,225.
Example:
1 x 232,331,225 = 232,331,225
and
-1 x -232,331,225 = 232,331,225
Notice both answers equal 232,331,225
With that explanation out of the way, let's continue. Next, we take the number 232,331,225 and divide it by 2:
232,331,225 ÷ 2 = 116,165,612.5
If the quotient is a whole number, then 2 and 116,165,612.5 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 | 232,331,225 | |
| -1 | -232,331,225 |
Now, we try dividing 232,331,225 by 3:
232,331,225 ÷ 3 = 77,443,741.6667
If the quotient is a whole number, then 3 and 77,443,741.6667 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 | 232,331,225 | |
| -1 | -232,331,225 |
Let's try dividing by 4:
232,331,225 ÷ 4 = 58,082,806.25
If the quotient is a whole number, then 4 and 58,082,806.25 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 | 232,331,225 | |
| -1 | 232,331,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 175 | 811 | 1,637 | 4,055 | 5,677 | 8,185 | 11,459 | 20,275 | 28,385 | 40,925 | 57,295 | 141,925 | 286,475 | 1,327,607 | 6,638,035 | 9,293,249 | 33,190,175 | 46,466,245 | 232,331,225 |
| -1 | -5 | -7 | -25 | -35 | -175 | -811 | -1,637 | -4,055 | -5,677 | -8,185 | -11,459 | -20,275 | -28,385 | -40,925 | -57,295 | -141,925 | -286,475 | -1,327,607 | -6,638,035 | -9,293,249 | -33,190,175 | -46,466,245 | -232,331,225 |
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