Q: What are the factor combinations of the number 200,010,239?

 A:
Positive:   1 x 20001023911 x 1818274913 x 1538540347 x 4255537143 x 1398673517 x 386867611 x 3273496721 x 29759
Negative: -1 x -200010239-11 x -18182749-13 x -15385403-47 x -4255537-143 x -1398673-517 x -386867-611 x -327349-6721 x -29759


How do I find the factor combinations of the number 200,010,239?

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 200,010,239, 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.

1 200,010,239
-1 -200,010,239

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 200,010,239.

Example:
1 x 200,010,239 = 200,010,239
and
-1 x -200,010,239 = 200,010,239
Notice both answers equal 200,010,239

With that explanation out of the way, let's continue. Next, we take the number 200,010,239 and divide it by 2:

200,010,239 ÷ 2 = 100,005,119.5

If the quotient is a whole number, then 2 and 100,005,119.5 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:

1 200,010,239
-1 -200,010,239

Now, we try dividing 200,010,239 by 3:

200,010,239 ÷ 3 = 66,670,079.6667

If the quotient is a whole number, then 3 and 66,670,079.6667 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:

1 200,010,239
-1 -200,010,239

Let's try dividing by 4:

200,010,239 ÷ 4 = 50,002,559.75

If the quotient is a whole number, then 4 and 50,002,559.75 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:

1 200,010,239
-1 200,010,239
Keep dividing by the next highest number until you cannot divide anymore.

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

11113471435176116,72129,759327,349386,8671,398,6734,255,53715,385,40318,182,749200,010,239
-1-11-13-47-143-517-611-6,721-29,759-327,349-386,867-1,398,673-4,255,537-15,385,403-18,182,749-200,010,239

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