A:
Positive:
1 x 2323125655 x 4646251317 x 1366544585 x 2733089463 x 5017552315 x 1003515903 x 393557871 x 29515
Negative:
-1 x -232312565-5 x -46462513-17 x -13665445-85 x -2733089-463 x -501755-2315 x -100351-5903 x -39355-7871 x -29515
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 232,312,565, 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 | 232,312,565 | |
| -1 | -232,312,565 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 232,312,565.
Example:
1 x 232,312,565 = 232,312,565
and
-1 x -232,312,565 = 232,312,565
Notice both answers equal 232,312,565
With that explanation out of the way, let's continue. Next, we take the number 232,312,565 and divide it by 2:
232,312,565 ÷ 2 = 116,156,282.5
If the quotient is a whole number, then 2 and 116,156,282.5 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 | 232,312,565 | |
| -1 | -232,312,565 |
Now, we try dividing 232,312,565 by 3:
232,312,565 ÷ 3 = 77,437,521.6667
If the quotient is a whole number, then 3 and 77,437,521.6667 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 | 232,312,565 | |
| -1 | -232,312,565 |
Let's try dividing by 4:
232,312,565 ÷ 4 = 58,078,141.25
If the quotient is a whole number, then 4 and 58,078,141.25 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 | 232,312,565 | |
| -1 | 232,312,565 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 85 | 463 | 2,315 | 5,903 | 7,871 | 29,515 | 39,355 | 100,351 | 501,755 | 2,733,089 | 13,665,445 | 46,462,513 | 232,312,565 |
| -1 | -5 | -17 | -85 | -463 | -2,315 | -5,903 | -7,871 | -29,515 | -39,355 | -100,351 | -501,755 | -2,733,089 | -13,665,445 | -46,462,513 | -232,312,565 |
Here are some more numbers to try:
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