Q: What are the factor combinations of the number 531,244,489?

 A:
Positive:   1 x 53124448931 x 1713691943 x 12354523137 x 38776971333 x 3985332909 x 1826214247 x 1250875891 x 90179
Negative: -1 x -531244489-31 x -17136919-43 x -12354523-137 x -3877697-1333 x -398533-2909 x -182621-4247 x -125087-5891 x -90179


How do I find the factor combinations of the number 531,244,489?

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 531,244,489, 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.

1 531,244,489
-1 -531,244,489

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 531,244,489.

Example:
1 x 531,244,489 = 531,244,489
and
-1 x -531,244,489 = 531,244,489
Notice both answers equal 531,244,489

With that explanation out of the way, let's continue. Next, we take the number 531,244,489 and divide it by 2:

531,244,489 ÷ 2 = 265,622,244.5

If the quotient is a whole number, then 2 and 265,622,244.5 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:

1 531,244,489
-1 -531,244,489

Now, we try dividing 531,244,489 by 3:

531,244,489 ÷ 3 = 177,081,496.3333

If the quotient is a whole number, then 3 and 177,081,496.3333 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:

1 531,244,489
-1 -531,244,489

Let's try dividing by 4:

531,244,489 ÷ 4 = 132,811,122.25

If the quotient is a whole number, then 4 and 132,811,122.25 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:

1 531,244,489
-1 531,244,489
Keep dividing by the next highest number until you cannot divide anymore.

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

131431371,3332,9094,2475,89190,179125,087182,621398,5333,877,69712,354,52317,136,919531,244,489
-1-31-43-137-1,333-2,909-4,247-5,891-90,179-125,087-182,621-398,533-3,877,697-12,354,523-17,136,919-531,244,489

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