Q: What are the factor combinations of the number 121,483,033?

 A:
Positive:   1 x 1214830337 x 1735471923 x 528187183 x 1463651161 x 754553581 x 2090931909 x 636379091 x 13363
Negative: -1 x -121483033-7 x -17354719-23 x -5281871-83 x -1463651-161 x -754553-581 x -209093-1909 x -63637-9091 x -13363


How do I find the factor combinations of the number 121,483,033?

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 121,483,033, 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.

1 121,483,033
-1 -121,483,033

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 121,483,033.

Example:
1 x 121,483,033 = 121,483,033
and
-1 x -121,483,033 = 121,483,033
Notice both answers equal 121,483,033

With that explanation out of the way, let's continue. Next, we take the number 121,483,033 and divide it by 2:

121,483,033 ÷ 2 = 60,741,516.5

If the quotient is a whole number, then 2 and 60,741,516.5 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:

1 121,483,033
-1 -121,483,033

Now, we try dividing 121,483,033 by 3:

121,483,033 ÷ 3 = 40,494,344.3333

If the quotient is a whole number, then 3 and 40,494,344.3333 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:

1 121,483,033
-1 -121,483,033

Let's try dividing by 4:

121,483,033 ÷ 4 = 30,370,758.25

If the quotient is a whole number, then 4 and 30,370,758.25 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:

1 121,483,033
-1 121,483,033
Keep dividing by the next highest number until you cannot divide anymore.

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

1723831615811,9099,09113,36363,637209,093754,5531,463,6515,281,87117,354,719121,483,033
-1-7-23-83-161-581-1,909-9,091-13,363-63,637-209,093-754,553-1,463,651-5,281,871-17,354,719-121,483,033

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