A:
Positive:
1 x 1234123455 x 246824697 x 1763033535 x 3526067601 x 2053453005 x 410694207 x 293355867 x 21035
Negative:
-1 x -123412345-5 x -24682469-7 x -17630335-35 x -3526067-601 x -205345-3005 x -41069-4207 x -29335-5867 x -21035
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 123,412,345, 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 | 123,412,345 | |
| -1 | -123,412,345 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 123,412,345.
Example:
1 x 123,412,345 = 123,412,345
and
-1 x -123,412,345 = 123,412,345
Notice both answers equal 123,412,345
With that explanation out of the way, let's continue. Next, we take the number 123,412,345 and divide it by 2:
123,412,345 ÷ 2 = 61,706,172.5
If the quotient is a whole number, then 2 and 61,706,172.5 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 | 123,412,345 | |
| -1 | -123,412,345 |
Now, we try dividing 123,412,345 by 3:
123,412,345 ÷ 3 = 41,137,448.3333
If the quotient is a whole number, then 3 and 41,137,448.3333 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 | 123,412,345 | |
| -1 | -123,412,345 |
Let's try dividing by 4:
123,412,345 ÷ 4 = 30,853,086.25
If the quotient is a whole number, then 4 and 30,853,086.25 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 | 123,412,345 | |
| -1 | 123,412,345 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 601 | 3,005 | 4,207 | 5,867 | 21,035 | 29,335 | 41,069 | 205,345 | 3,526,067 | 17,630,335 | 24,682,469 | 123,412,345 |
| -1 | -5 | -7 | -35 | -601 | -3,005 | -4,207 | -5,867 | -21,035 | -29,335 | -41,069 | -205,345 | -3,526,067 | -17,630,335 | -24,682,469 | -123,412,345 |
Here are some more numbers to try:
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