Q: What are the factor combinations of the number 230,113,031?

 A:
Positive:   1 x 23011303131 x 7423001223 x 10318976913 x 33287
Negative: -1 x -230113031-31 x -7423001-223 x -1031897-6913 x -33287


How do I find the factor combinations of the number 230,113,031?

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 230,113,031, 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.

1 230,113,031
-1 -230,113,031

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 230,113,031.

Example:
1 x 230,113,031 = 230,113,031
and
-1 x -230,113,031 = 230,113,031
Notice both answers equal 230,113,031

With that explanation out of the way, let's continue. Next, we take the number 230,113,031 and divide it by 2:

230,113,031 ÷ 2 = 115,056,515.5

If the quotient is a whole number, then 2 and 115,056,515.5 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:

1 230,113,031
-1 -230,113,031

Now, we try dividing 230,113,031 by 3:

230,113,031 ÷ 3 = 76,704,343.6667

If the quotient is a whole number, then 3 and 76,704,343.6667 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:

1 230,113,031
-1 -230,113,031

Let's try dividing by 4:

230,113,031 ÷ 4 = 57,528,257.75

If the quotient is a whole number, then 4 and 57,528,257.75 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:

1 230,113,031
-1 230,113,031
Keep dividing by the next highest number until you cannot divide anymore.

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

1312236,91333,2871,031,8977,423,001230,113,031
-1-31-223-6,913-33,287-1,031,897-7,423,001-230,113,031

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