Q: What are the factor combinations of the number 522,237,535?

 A:
Positive:   1 x 5222375355 x 10444750717 x 3071985585 x 61439711321 x 3953354651 x 1122856605 x 7906722457 x 23255
Negative: -1 x -522237535-5 x -104447507-17 x -30719855-85 x -6143971-1321 x -395335-4651 x -112285-6605 x -79067-22457 x -23255


How do I find the factor combinations of the number 522,237,535?

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 522,237,535, 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.

1 522,237,535
-1 -522,237,535

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 522,237,535.

Example:
1 x 522,237,535 = 522,237,535
and
-1 x -522,237,535 = 522,237,535
Notice both answers equal 522,237,535

With that explanation out of the way, let's continue. Next, we take the number 522,237,535 and divide it by 2:

522,237,535 ÷ 2 = 261,118,767.5

If the quotient is a whole number, then 2 and 261,118,767.5 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:

1 522,237,535
-1 -522,237,535

Now, we try dividing 522,237,535 by 3:

522,237,535 ÷ 3 = 174,079,178.3333

If the quotient is a whole number, then 3 and 174,079,178.3333 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:

1 522,237,535
-1 -522,237,535

Let's try dividing by 4:

522,237,535 ÷ 4 = 130,559,383.75

If the quotient is a whole number, then 4 and 130,559,383.75 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:

1 522,237,535
-1 522,237,535
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851,3214,6516,60522,45723,25579,067112,285395,3356,143,97130,719,855104,447,507522,237,535
-1-5-17-85-1,321-4,651-6,605-22,457-23,255-79,067-112,285-395,335-6,143,971-30,719,855-104,447,507-522,237,535

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