Q: What are the factor combinations of the number 230,013,133?

 A:
Positive:   1 x 2300131337 x 3285901923 x 10000571161 x 1428653719 x 3199071987 x 1157595033 x 4570113909 x 16537
Negative: -1 x -230013133-7 x -32859019-23 x -10000571-161 x -1428653-719 x -319907-1987 x -115759-5033 x -45701-13909 x -16537


How do I find the factor combinations of the number 230,013,133?

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 230,013,133, 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.

1 230,013,133
-1 -230,013,133

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 230,013,133.

Example:
1 x 230,013,133 = 230,013,133
and
-1 x -230,013,133 = 230,013,133
Notice both answers equal 230,013,133

With that explanation out of the way, let's continue. Next, we take the number 230,013,133 and divide it by 2:

230,013,133 ÷ 2 = 115,006,566.5

If the quotient is a whole number, then 2 and 115,006,566.5 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:

1 230,013,133
-1 -230,013,133

Now, we try dividing 230,013,133 by 3:

230,013,133 ÷ 3 = 76,671,044.3333

If the quotient is a whole number, then 3 and 76,671,044.3333 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:

1 230,013,133
-1 -230,013,133

Let's try dividing by 4:

230,013,133 ÷ 4 = 57,503,283.25

If the quotient is a whole number, then 4 and 57,503,283.25 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:

1 230,013,133
-1 230,013,133
Keep dividing by the next highest number until you cannot divide anymore.

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

17231617191,9875,03313,90916,53745,701115,759319,9071,428,65310,000,57132,859,019230,013,133
-1-7-23-161-719-1,987-5,033-13,909-16,537-45,701-115,759-319,907-1,428,653-10,000,571-32,859,019-230,013,133

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