A:
Positive:
1 x 2324144277 x 3320206137 x 6281471259 x 897353821 x 2830871093 x 2126395747 x 404417651 x 30377
Negative:
-1 x -232414427-7 x -33202061-37 x -6281471-259 x -897353-821 x -283087-1093 x -212639-5747 x -40441-7651 x -30377
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 232,414,427, 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 | 232,414,427 | |
| -1 | -232,414,427 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 232,414,427.
Example:
1 x 232,414,427 = 232,414,427
and
-1 x -232,414,427 = 232,414,427
Notice both answers equal 232,414,427
With that explanation out of the way, let's continue. Next, we take the number 232,414,427 and divide it by 2:
232,414,427 ÷ 2 = 116,207,213.5
If the quotient is a whole number, then 2 and 116,207,213.5 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 | 232,414,427 | |
| -1 | -232,414,427 |
Now, we try dividing 232,414,427 by 3:
232,414,427 ÷ 3 = 77,471,475.6667
If the quotient is a whole number, then 3 and 77,471,475.6667 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 | 232,414,427 | |
| -1 | -232,414,427 |
Let's try dividing by 4:
232,414,427 ÷ 4 = 58,103,606.75
If the quotient is a whole number, then 4 and 58,103,606.75 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 | 232,414,427 | |
| -1 | 232,414,427 |
If you did it right, you will end up with this table:
| 1 | 7 | 37 | 259 | 821 | 1,093 | 5,747 | 7,651 | 30,377 | 40,441 | 212,639 | 283,087 | 897,353 | 6,281,471 | 33,202,061 | 232,414,427 |
| -1 | -7 | -37 | -259 | -821 | -1,093 | -5,747 | -7,651 | -30,377 | -40,441 | -212,639 | -283,087 | -897,353 | -6,281,471 | -33,202,061 | -232,414,427 |
Here are some more numbers to try:
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