Q: What are the factor combinations of the number 511,504,331?

 A:
Positive:   1 x 51150433113 x 3934648767 x 7634393113 x 4526587871 x 5872611469 x 3481995197 x 984237571 x 67561
Negative: -1 x -511504331-13 x -39346487-67 x -7634393-113 x -4526587-871 x -587261-1469 x -348199-5197 x -98423-7571 x -67561


How do I find the factor combinations of the number 511,504,331?

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 511,504,331, 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.

1 511,504,331
-1 -511,504,331

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 511,504,331.

Example:
1 x 511,504,331 = 511,504,331
and
-1 x -511,504,331 = 511,504,331
Notice both answers equal 511,504,331

With that explanation out of the way, let's continue. Next, we take the number 511,504,331 and divide it by 2:

511,504,331 ÷ 2 = 255,752,165.5

If the quotient is a whole number, then 2 and 255,752,165.5 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:

1 511,504,331
-1 -511,504,331

Now, we try dividing 511,504,331 by 3:

511,504,331 ÷ 3 = 170,501,443.6667

If the quotient is a whole number, then 3 and 170,501,443.6667 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:

1 511,504,331
-1 -511,504,331

Let's try dividing by 4:

511,504,331 ÷ 4 = 127,876,082.75

If the quotient is a whole number, then 4 and 127,876,082.75 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:

1 511,504,331
-1 511,504,331
Keep dividing by the next highest number until you cannot divide anymore.

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

113671138711,4695,1977,57167,56198,423348,199587,2614,526,5877,634,39339,346,487511,504,331
-1-13-67-113-871-1,469-5,197-7,571-67,561-98,423-348,199-587,261-4,526,587-7,634,393-39,346,487-511,504,331

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