A:
Positive:
1 x 1231413123 x 53539761 x 20187167 x 183793131 x 940011403 x 87771541 x 79913013 x 4087
Negative:
-1 x -12314131-23 x -535397-61 x -201871-67 x -183793-131 x -94001-1403 x -8777-1541 x -7991-3013 x -4087
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 12,314,131, 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 | 12,314,131 | |
| -1 | -12,314,131 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,314,131.
Example:
1 x 12,314,131 = 12,314,131
and
-1 x -12,314,131 = 12,314,131
Notice both answers equal 12,314,131
With that explanation out of the way, let's continue. Next, we take the number 12,314,131 and divide it by 2:
12,314,131 ÷ 2 = 6,157,065.5
If the quotient is a whole number, then 2 and 6,157,065.5 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 | 12,314,131 | |
| -1 | -12,314,131 |
Now, we try dividing 12,314,131 by 3:
12,314,131 ÷ 3 = 4,104,710.3333
If the quotient is a whole number, then 3 and 4,104,710.3333 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 | 12,314,131 | |
| -1 | -12,314,131 |
Let's try dividing by 4:
12,314,131 ÷ 4 = 3,078,532.75
If the quotient is a whole number, then 4 and 3,078,532.75 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 | 12,314,131 | |
| -1 | 12,314,131 |
If you did it right, you will end up with this table:
| 1 | 23 | 61 | 67 | 131 | 1,403 | 1,541 | 3,013 | 4,087 | 7,991 | 8,777 | 94,001 | 183,793 | 201,871 | 535,397 | 12,314,131 |
| -1 | -23 | -61 | -67 | -131 | -1,403 | -1,541 | -3,013 | -4,087 | -7,991 | -8,777 | -94,001 | -183,793 | -201,871 | -535,397 | -12,314,131 |
Here are some more numbers to try:
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