A:
Positive:
1 x 13332112313 x 1025547117 x 7842419163 x 817921221 x 6032632119 x 629172771 x 481133701 x 36023
Negative:
-1 x -133321123-13 x -10255471-17 x -7842419-163 x -817921-221 x -603263-2119 x -62917-2771 x -48113-3701 x -36023
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 133,321,123, 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 | 133,321,123 | |
| -1 | -133,321,123 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 133,321,123.
Example:
1 x 133,321,123 = 133,321,123
and
-1 x -133,321,123 = 133,321,123
Notice both answers equal 133,321,123
With that explanation out of the way, let's continue. Next, we take the number 133,321,123 and divide it by 2:
133,321,123 ÷ 2 = 66,660,561.5
If the quotient is a whole number, then 2 and 66,660,561.5 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 | 133,321,123 | |
| -1 | -133,321,123 |
Now, we try dividing 133,321,123 by 3:
133,321,123 ÷ 3 = 44,440,374.3333
If the quotient is a whole number, then 3 and 44,440,374.3333 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 | 133,321,123 | |
| -1 | -133,321,123 |
Let's try dividing by 4:
133,321,123 ÷ 4 = 33,330,280.75
If the quotient is a whole number, then 4 and 33,330,280.75 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 | 133,321,123 | |
| -1 | 133,321,123 |
If you did it right, you will end up with this table:
| 1 | 13 | 17 | 163 | 221 | 2,119 | 2,771 | 3,701 | 36,023 | 48,113 | 62,917 | 603,263 | 817,921 | 7,842,419 | 10,255,471 | 133,321,123 |
| -1 | -13 | -17 | -163 | -221 | -2,119 | -2,771 | -3,701 | -36,023 | -48,113 | -62,917 | -603,263 | -817,921 | -7,842,419 | -10,255,471 | -133,321,123 |
Here are some more numbers to try:
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