A:
Positive:
1 x 12310531929 x 424501197 x 1269127107 x 1150517409 x 3009912813 x 437633103 x 3967310379 x 11861
Negative:
-1 x -123105319-29 x -4245011-97 x -1269127-107 x -1150517-409 x -300991-2813 x -43763-3103 x -39673-10379 x -11861
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 123,105,319, 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 | 123,105,319 | |
| -1 | -123,105,319 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 123,105,319.
Example:
1 x 123,105,319 = 123,105,319
and
-1 x -123,105,319 = 123,105,319
Notice both answers equal 123,105,319
With that explanation out of the way, let's continue. Next, we take the number 123,105,319 and divide it by 2:
123,105,319 ÷ 2 = 61,552,659.5
If the quotient is a whole number, then 2 and 61,552,659.5 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 | 123,105,319 | |
| -1 | -123,105,319 |
Now, we try dividing 123,105,319 by 3:
123,105,319 ÷ 3 = 41,035,106.3333
If the quotient is a whole number, then 3 and 41,035,106.3333 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 | 123,105,319 | |
| -1 | -123,105,319 |
Let's try dividing by 4:
123,105,319 ÷ 4 = 30,776,329.75
If the quotient is a whole number, then 4 and 30,776,329.75 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 | 123,105,319 | |
| -1 | 123,105,319 |
If you did it right, you will end up with this table:
| 1 | 29 | 97 | 107 | 409 | 2,813 | 3,103 | 10,379 | 11,861 | 39,673 | 43,763 | 300,991 | 1,150,517 | 1,269,127 | 4,245,011 | 123,105,319 |
| -1 | -29 | -97 | -107 | -409 | -2,813 | -3,103 | -10,379 | -11,861 | -39,673 | -43,763 | -300,991 | -1,150,517 | -1,269,127 | -4,245,011 | -123,105,319 |
Here are some more numbers to try:
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