A:
Positive:
1 x 1232003055 x 2464006123 x 5356535101 x 1219805115 x 1071307505 x 2439612323 x 5303510607 x 11615
Negative:
-1 x -123200305-5 x -24640061-23 x -5356535-101 x -1219805-115 x -1071307-505 x -243961-2323 x -53035-10607 x -11615
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 123,200,305, 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 | 123,200,305 | |
| -1 | -123,200,305 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 123,200,305.
Example:
1 x 123,200,305 = 123,200,305
and
-1 x -123,200,305 = 123,200,305
Notice both answers equal 123,200,305
With that explanation out of the way, let's continue. Next, we take the number 123,200,305 and divide it by 2:
123,200,305 ÷ 2 = 61,600,152.5
If the quotient is a whole number, then 2 and 61,600,152.5 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 | 123,200,305 | |
| -1 | -123,200,305 |
Now, we try dividing 123,200,305 by 3:
123,200,305 ÷ 3 = 41,066,768.3333
If the quotient is a whole number, then 3 and 41,066,768.3333 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 | 123,200,305 | |
| -1 | -123,200,305 |
Let's try dividing by 4:
123,200,305 ÷ 4 = 30,800,076.25
If the quotient is a whole number, then 4 and 30,800,076.25 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 | 123,200,305 | |
| -1 | 123,200,305 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 101 | 115 | 505 | 2,323 | 10,607 | 11,615 | 53,035 | 243,961 | 1,071,307 | 1,219,805 | 5,356,535 | 24,640,061 | 123,200,305 |
| -1 | -5 | -23 | -101 | -115 | -505 | -2,323 | -10,607 | -11,615 | -53,035 | -243,961 | -1,071,307 | -1,219,805 | -5,356,535 | -24,640,061 | -123,200,305 |
Here are some more numbers to try:
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