Q: What are the factor combinations of the number 502,511,345?

 A:
Positive:   1 x 5025113455 x 1005022697 x 7178733535 x 14357467947 x 5306354735 x 1061276629 x 7580515161 x 33145
Negative: -1 x -502511345-5 x -100502269-7 x -71787335-35 x -14357467-947 x -530635-4735 x -106127-6629 x -75805-15161 x -33145


How do I find the factor combinations of the number 502,511,345?

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 502,511,345, 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.

1 502,511,345
-1 -502,511,345

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 502,511,345.

Example:
1 x 502,511,345 = 502,511,345
and
-1 x -502,511,345 = 502,511,345
Notice both answers equal 502,511,345

With that explanation out of the way, let's continue. Next, we take the number 502,511,345 and divide it by 2:

502,511,345 ÷ 2 = 251,255,672.5

If the quotient is a whole number, then 2 and 251,255,672.5 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:

1 502,511,345
-1 -502,511,345

Now, we try dividing 502,511,345 by 3:

502,511,345 ÷ 3 = 167,503,781.6667

If the quotient is a whole number, then 3 and 167,503,781.6667 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:

1 502,511,345
-1 -502,511,345

Let's try dividing by 4:

502,511,345 ÷ 4 = 125,627,836.25

If the quotient is a whole number, then 4 and 125,627,836.25 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:

1 502,511,345
-1 502,511,345
Keep dividing by the next highest number until you cannot divide anymore.

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

157359474,7356,62915,16133,14575,805106,127530,63514,357,46771,787,335100,502,269502,511,345
-1-5-7-35-947-4,735-6,629-15,161-33,145-75,805-106,127-530,635-14,357,467-71,787,335-100,502,269-502,511,345

More Examples

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