Q: What are the factor combinations of the number 121,033,031?

 A:
Positive:   1 x 1210330317 x 1729043337 x 3271163259 x 467309313 x 3866871493 x 810672191 x 5524110451 x 11581
Negative: -1 x -121033031-7 x -17290433-37 x -3271163-259 x -467309-313 x -386687-1493 x -81067-2191 x -55241-10451 x -11581


How do I find the factor combinations of the number 121,033,031?

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 121,033,031, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

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.

1 121,033,031
-1 -121,033,031

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 121,033,031.

Example:
1 x 121,033,031 = 121,033,031
and
-1 x -121,033,031 = 121,033,031
Notice both answers equal 121,033,031

With that explanation out of the way, let's continue. Next, we take the number 121,033,031 and divide it by 2:

121,033,031 ÷ 2 = 60,516,515.5

If the quotient is a whole number, then 2 and 60,516,515.5 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:

1 121,033,031
-1 -121,033,031

Now, we try dividing 121,033,031 by 3:

121,033,031 ÷ 3 = 40,344,343.6667

If the quotient is a whole number, then 3 and 40,344,343.6667 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:

1 121,033,031
-1 -121,033,031

Let's try dividing by 4:

121,033,031 ÷ 4 = 30,258,257.75

If the quotient is a whole number, then 4 and 30,258,257.75 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:

1 121,033,031
-1 121,033,031
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

17372593131,4932,19110,45111,58155,24181,067386,687467,3093,271,16317,290,433121,033,031
-1-7-37-259-313-1,493-2,191-10,451-11,581-55,241-81,067-386,687-467,309-3,271,163-17,290,433-121,033,031

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