A:
Positive:
1 x 1132144097 x 1617348711 x 1029221977 x 1470317443 x 2555633101 x 365093319 x 341114873 x 23233
Negative:
-1 x -113214409-7 x -16173487-11 x -10292219-77 x -1470317-443 x -255563-3101 x -36509-3319 x -34111-4873 x -23233
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 113,214,409, 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 | 113,214,409 | |
| -1 | -113,214,409 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 113,214,409.
Example:
1 x 113,214,409 = 113,214,409
and
-1 x -113,214,409 = 113,214,409
Notice both answers equal 113,214,409
With that explanation out of the way, let's continue. Next, we take the number 113,214,409 and divide it by 2:
113,214,409 ÷ 2 = 56,607,204.5
If the quotient is a whole number, then 2 and 56,607,204.5 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 | 113,214,409 | |
| -1 | -113,214,409 |
Now, we try dividing 113,214,409 by 3:
113,214,409 ÷ 3 = 37,738,136.3333
If the quotient is a whole number, then 3 and 37,738,136.3333 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 | 113,214,409 | |
| -1 | -113,214,409 |
Let's try dividing by 4:
113,214,409 ÷ 4 = 28,303,602.25
If the quotient is a whole number, then 4 and 28,303,602.25 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 | 113,214,409 | |
| -1 | 113,214,409 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 443 | 3,101 | 3,319 | 4,873 | 23,233 | 34,111 | 36,509 | 255,563 | 1,470,317 | 10,292,219 | 16,173,487 | 113,214,409 |
| -1 | -7 | -11 | -77 | -443 | -3,101 | -3,319 | -4,873 | -23,233 | -34,111 | -36,509 | -255,563 | -1,470,317 | -10,292,219 | -16,173,487 | -113,214,409 |
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