Q: What are the factor combinations of the number 531,347,831?

 A:
Positive:   1 x 5313478317 x 7590683329 x 1832233947 x 11305273203 x 2617477329 x 16150391363 x 3898379541 x 55691
Negative: -1 x -531347831-7 x -75906833-29 x -18322339-47 x -11305273-203 x -2617477-329 x -1615039-1363 x -389837-9541 x -55691


How do I find the factor combinations of the number 531,347,831?

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 531,347,831, 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.

1 531,347,831
-1 -531,347,831

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 531,347,831.

Example:
1 x 531,347,831 = 531,347,831
and
-1 x -531,347,831 = 531,347,831
Notice both answers equal 531,347,831

With that explanation out of the way, let's continue. Next, we take the number 531,347,831 and divide it by 2:

531,347,831 ÷ 2 = 265,673,915.5

If the quotient is a whole number, then 2 and 265,673,915.5 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:

1 531,347,831
-1 -531,347,831

Now, we try dividing 531,347,831 by 3:

531,347,831 ÷ 3 = 177,115,943.6667

If the quotient is a whole number, then 3 and 177,115,943.6667 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:

1 531,347,831
-1 -531,347,831

Let's try dividing by 4:

531,347,831 ÷ 4 = 132,836,957.75

If the quotient is a whole number, then 4 and 132,836,957.75 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:

1 531,347,831
-1 531,347,831
Keep dividing by the next highest number until you cannot divide anymore.

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

1729472033291,3639,54155,691389,8371,615,0392,617,47711,305,27318,322,33975,906,833531,347,831
-1-7-29-47-203-329-1,363-9,541-55,691-389,837-1,615,039-2,617,477-11,305,273-18,322,339-75,906,833-531,347,831

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