Q: What are the factor combinations of the number 511,504,325?

 A:
Positive:   1 x 5115043255 x 10230086525 x 2046017353 x 9651025265 x 19302051325 x 386041
Negative: -1 x -511504325-5 x -102300865-25 x -20460173-53 x -9651025-265 x -1930205-1325 x -386041


How do I find the factor combinations of the number 511,504,325?

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 511,504,325, 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.

1 511,504,325
-1 -511,504,325

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 511,504,325.

Example:
1 x 511,504,325 = 511,504,325
and
-1 x -511,504,325 = 511,504,325
Notice both answers equal 511,504,325

With that explanation out of the way, let's continue. Next, we take the number 511,504,325 and divide it by 2:

511,504,325 ÷ 2 = 255,752,162.5

If the quotient is a whole number, then 2 and 255,752,162.5 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:

1 511,504,325
-1 -511,504,325

Now, we try dividing 511,504,325 by 3:

511,504,325 ÷ 3 = 170,501,441.6667

If the quotient is a whole number, then 3 and 170,501,441.6667 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:

1 511,504,325
-1 -511,504,325

Let's try dividing by 4:

511,504,325 ÷ 4 = 127,876,081.25

If the quotient is a whole number, then 4 and 127,876,081.25 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:

1 511,504,325
-1 511,504,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1525532651,325386,0411,930,2059,651,02520,460,173102,300,865511,504,325
-1-5-25-53-265-1,325-386,041-1,930,205-9,651,025-20,460,173-102,300,865-511,504,325

More Examples

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