Q: What are the factor combinations of the number 537,215,375?

 A:
Positive:   1 x 5372153755 x 10744307525 x 21488615125 x 4297723491 x 10941252455 x 2188258753 x 6137512275 x 43765
Negative: -1 x -537215375-5 x -107443075-25 x -21488615-125 x -4297723-491 x -1094125-2455 x -218825-8753 x -61375-12275 x -43765


How do I find the factor combinations of the number 537,215,375?

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 537,215,375, 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.

1 537,215,375
-1 -537,215,375

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 537,215,375.

Example:
1 x 537,215,375 = 537,215,375
and
-1 x -537,215,375 = 537,215,375
Notice both answers equal 537,215,375

With that explanation out of the way, let's continue. Next, we take the number 537,215,375 and divide it by 2:

537,215,375 ÷ 2 = 268,607,687.5

If the quotient is a whole number, then 2 and 268,607,687.5 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:

1 537,215,375
-1 -537,215,375

Now, we try dividing 537,215,375 by 3:

537,215,375 ÷ 3 = 179,071,791.6667

If the quotient is a whole number, then 3 and 179,071,791.6667 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:

1 537,215,375
-1 -537,215,375

Let's try dividing by 4:

537,215,375 ÷ 4 = 134,303,843.75

If the quotient is a whole number, then 4 and 134,303,843.75 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:

1 537,215,375
-1 537,215,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251254912,4558,75312,27543,76561,375218,8251,094,1254,297,72321,488,615107,443,075537,215,375
-1-5-25-125-491-2,455-8,753-12,275-43,765-61,375-218,825-1,094,125-4,297,723-21,488,615-107,443,075-537,215,375

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