Q: What are the factor combinations of the number 512,352,439?

 A:
Positive:   1 x 51235243923 x 2227619343 x 11915173631 x 811969821 x 624059989 x 51805114513 x 3530318883 x 27133
Negative: -1 x -512352439-23 x -22276193-43 x -11915173-631 x -811969-821 x -624059-989 x -518051-14513 x -35303-18883 x -27133


How do I find the factor combinations of the number 512,352,439?

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 512,352,439, 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.

1 512,352,439
-1 -512,352,439

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 512,352,439.

Example:
1 x 512,352,439 = 512,352,439
and
-1 x -512,352,439 = 512,352,439
Notice both answers equal 512,352,439

With that explanation out of the way, let's continue. Next, we take the number 512,352,439 and divide it by 2:

512,352,439 ÷ 2 = 256,176,219.5

If the quotient is a whole number, then 2 and 256,176,219.5 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:

1 512,352,439
-1 -512,352,439

Now, we try dividing 512,352,439 by 3:

512,352,439 ÷ 3 = 170,784,146.3333

If the quotient is a whole number, then 3 and 170,784,146.3333 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:

1 512,352,439
-1 -512,352,439

Let's try dividing by 4:

512,352,439 ÷ 4 = 128,088,109.75

If the quotient is a whole number, then 4 and 128,088,109.75 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:

1 512,352,439
-1 512,352,439
Keep dividing by the next highest number until you cannot divide anymore.

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

1234363182198914,51318,88327,13335,303518,051624,059811,96911,915,17322,276,193512,352,439
-1-23-43-631-821-989-14,513-18,883-27,133-35,303-518,051-624,059-811,969-11,915,173-22,276,193-512,352,439

More Examples

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