Q: What are the factor combinations of the number 506,135,375?

 A:
Positive:   1 x 5061353755 x 10122707525 x 20245415125 x 4049083163 x 3105125815 x 6210254075 x 12420520375 x 24841
Negative: -1 x -506135375-5 x -101227075-25 x -20245415-125 x -4049083-163 x -3105125-815 x -621025-4075 x -124205-20375 x -24841


How do I find the factor combinations of the number 506,135,375?

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 506,135,375, 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.

1 506,135,375
-1 -506,135,375

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 506,135,375.

Example:
1 x 506,135,375 = 506,135,375
and
-1 x -506,135,375 = 506,135,375
Notice both answers equal 506,135,375

With that explanation out of the way, let's continue. Next, we take the number 506,135,375 and divide it by 2:

506,135,375 ÷ 2 = 253,067,687.5

If the quotient is a whole number, then 2 and 253,067,687.5 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:

1 506,135,375
-1 -506,135,375

Now, we try dividing 506,135,375 by 3:

506,135,375 ÷ 3 = 168,711,791.6667

If the quotient is a whole number, then 3 and 168,711,791.6667 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:

1 506,135,375
-1 -506,135,375

Let's try dividing by 4:

506,135,375 ÷ 4 = 126,533,843.75

If the quotient is a whole number, then 4 and 126,533,843.75 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:

1 506,135,375
-1 506,135,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251638154,07520,37524,841124,205621,0253,105,1254,049,08320,245,415101,227,075506,135,375
-1-5-25-125-163-815-4,075-20,375-24,841-124,205-621,025-3,105,125-4,049,083-20,245,415-101,227,075-506,135,375

More Examples

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