Q: What are the factor combinations of the number 533,715,437?

 A:
Positive:   1 x 53371543723 x 2320501931 x 1721662797 x 5502221713 x 7485492231 x 2392273007 x 1774917717 x 69161
Negative: -1 x -533715437-23 x -23205019-31 x -17216627-97 x -5502221-713 x -748549-2231 x -239227-3007 x -177491-7717 x -69161


How do I find the factor combinations of the number 533,715,437?

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 533,715,437, 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.

1 533,715,437
-1 -533,715,437

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 533,715,437.

Example:
1 x 533,715,437 = 533,715,437
and
-1 x -533,715,437 = 533,715,437
Notice both answers equal 533,715,437

With that explanation out of the way, let's continue. Next, we take the number 533,715,437 and divide it by 2:

533,715,437 ÷ 2 = 266,857,718.5

If the quotient is a whole number, then 2 and 266,857,718.5 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:

1 533,715,437
-1 -533,715,437

Now, we try dividing 533,715,437 by 3:

533,715,437 ÷ 3 = 177,905,145.6667

If the quotient is a whole number, then 3 and 177,905,145.6667 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:

1 533,715,437
-1 -533,715,437

Let's try dividing by 4:

533,715,437 ÷ 4 = 133,428,859.25

If the quotient is a whole number, then 4 and 133,428,859.25 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:

1 533,715,437
-1 533,715,437
Keep dividing by the next highest number until you cannot divide anymore.

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

12331977132,2313,0077,71769,161177,491239,227748,5495,502,22117,216,62723,205,019533,715,437
-1-23-31-97-713-2,231-3,007-7,717-69,161-177,491-239,227-748,549-5,502,221-17,216,627-23,205,019-533,715,437

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