A:
Positive:
1 x 1234567817 x 1763668341 x 3011141149 x 828569287 x 4301631043 x 1183672887 x 427636109 x 20209
Negative:
-1 x -123456781-7 x -17636683-41 x -3011141-149 x -828569-287 x -430163-1043 x -118367-2887 x -42763-6109 x -20209
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 123,456,781, 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 | 123,456,781 | |
| -1 | -123,456,781 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 123,456,781.
Example:
1 x 123,456,781 = 123,456,781
and
-1 x -123,456,781 = 123,456,781
Notice both answers equal 123,456,781
With that explanation out of the way, let's continue. Next, we take the number 123,456,781 and divide it by 2:
123,456,781 ÷ 2 = 61,728,390.5
If the quotient is a whole number, then 2 and 61,728,390.5 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 | 123,456,781 | |
| -1 | -123,456,781 |
Now, we try dividing 123,456,781 by 3:
123,456,781 ÷ 3 = 41,152,260.3333
If the quotient is a whole number, then 3 and 41,152,260.3333 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 | 123,456,781 | |
| -1 | -123,456,781 |
Let's try dividing by 4:
123,456,781 ÷ 4 = 30,864,195.25
If the quotient is a whole number, then 4 and 30,864,195.25 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 | 123,456,781 | |
| -1 | 123,456,781 |
If you did it right, you will end up with this table:
| 1 | 7 | 41 | 149 | 287 | 1,043 | 2,887 | 6,109 | 20,209 | 42,763 | 118,367 | 430,163 | 828,569 | 3,011,141 | 17,636,683 | 123,456,781 |
| -1 | -7 | -41 | -149 | -287 | -1,043 | -2,887 | -6,109 | -20,209 | -42,763 | -118,367 | -430,163 | -828,569 | -3,011,141 | -17,636,683 | -123,456,781 |
Here are some more numbers to try:
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