A:
Positive:
1 x 2306121655 x 461224337 x 3294459535 x 658891997 x 2377445485 x 475489679 x 3396353395 x 67927
Negative:
-1 x -230612165-5 x -46122433-7 x -32944595-35 x -6588919-97 x -2377445-485 x -475489-679 x -339635-3395 x -67927
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 230,612,165, 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 | 230,612,165 | |
| -1 | -230,612,165 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 230,612,165.
Example:
1 x 230,612,165 = 230,612,165
and
-1 x -230,612,165 = 230,612,165
Notice both answers equal 230,612,165
With that explanation out of the way, let's continue. Next, we take the number 230,612,165 and divide it by 2:
230,612,165 ÷ 2 = 115,306,082.5
If the quotient is a whole number, then 2 and 115,306,082.5 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 | 230,612,165 | |
| -1 | -230,612,165 |
Now, we try dividing 230,612,165 by 3:
230,612,165 ÷ 3 = 76,870,721.6667
If the quotient is a whole number, then 3 and 76,870,721.6667 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 | 230,612,165 | |
| -1 | -230,612,165 |
Let's try dividing by 4:
230,612,165 ÷ 4 = 57,653,041.25
If the quotient is a whole number, then 4 and 57,653,041.25 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 | 230,612,165 | |
| -1 | 230,612,165 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 97 | 485 | 679 | 3,395 | 67,927 | 339,635 | 475,489 | 2,377,445 | 6,588,919 | 32,944,595 | 46,122,433 | 230,612,165 |
| -1 | -5 | -7 | -35 | -97 | -485 | -679 | -3,395 | -67,927 | -339,635 | -475,489 | -2,377,445 | -6,588,919 | -32,944,595 | -46,122,433 | -230,612,165 |
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