Q: What are the factor combinations of the number 502,381,223?

 A:
Positive:   1 x 50238122319 x 2644111753 x 94788911007 x 4988892809 x 1788479413 x 53371
Negative: -1 x -502381223-19 x -26441117-53 x -9478891-1007 x -498889-2809 x -178847-9413 x -53371


How do I find the factor combinations of the number 502,381,223?

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 502,381,223, 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.

1 502,381,223
-1 -502,381,223

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 502,381,223.

Example:
1 x 502,381,223 = 502,381,223
and
-1 x -502,381,223 = 502,381,223
Notice both answers equal 502,381,223

With that explanation out of the way, let's continue. Next, we take the number 502,381,223 and divide it by 2:

502,381,223 ÷ 2 = 251,190,611.5

If the quotient is a whole number, then 2 and 251,190,611.5 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:

1 502,381,223
-1 -502,381,223

Now, we try dividing 502,381,223 by 3:

502,381,223 ÷ 3 = 167,460,407.6667

If the quotient is a whole number, then 3 and 167,460,407.6667 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:

1 502,381,223
-1 -502,381,223

Let's try dividing by 4:

502,381,223 ÷ 4 = 125,595,305.75

If the quotient is a whole number, then 4 and 125,595,305.75 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:

1 502,381,223
-1 502,381,223
Keep dividing by the next highest number until you cannot divide anymore.

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

119531,0072,8099,41353,371178,847498,8899,478,89126,441,117502,381,223
-1-19-53-1,007-2,809-9,413-53,371-178,847-498,889-9,478,891-26,441,117-502,381,223

More Examples

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