Q: What are the factor combinations of the number 232,202,311?

 A:
Positive:   1 x 23220231111 x 2110930141 x 5663471167 x 1390433451 x 5148611837 x 1264033083 x 753176847 x 33913
Negative: -1 x -232202311-11 x -21109301-41 x -5663471-167 x -1390433-451 x -514861-1837 x -126403-3083 x -75317-6847 x -33913


How do I find the factor combinations of the number 232,202,311?

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 232,202,311, 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.

1 232,202,311
-1 -232,202,311

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 232,202,311.

Example:
1 x 232,202,311 = 232,202,311
and
-1 x -232,202,311 = 232,202,311
Notice both answers equal 232,202,311

With that explanation out of the way, let's continue. Next, we take the number 232,202,311 and divide it by 2:

232,202,311 ÷ 2 = 116,101,155.5

If the quotient is a whole number, then 2 and 116,101,155.5 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:

1 232,202,311
-1 -232,202,311

Now, we try dividing 232,202,311 by 3:

232,202,311 ÷ 3 = 77,400,770.3333

If the quotient is a whole number, then 3 and 77,400,770.3333 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:

1 232,202,311
-1 -232,202,311

Let's try dividing by 4:

232,202,311 ÷ 4 = 58,050,577.75

If the quotient is a whole number, then 4 and 58,050,577.75 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:

1 232,202,311
-1 232,202,311
Keep dividing by the next highest number until you cannot divide anymore.

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

111411674511,8373,0836,84733,91375,317126,403514,8611,390,4335,663,47121,109,301232,202,311
-1-11-41-167-451-1,837-3,083-6,847-33,913-75,317-126,403-514,861-1,390,433-5,663,471-21,109,301-232,202,311

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