Q: What are the factor combinations of the number 637,362,589?

 A:
Positive:   1 x 63736258917 x 3749191741 x 15545429439 x 1451851697 x 9144372083 x 3059837463 x 8540317999 x 35411
Negative: -1 x -637362589-17 x -37491917-41 x -15545429-439 x -1451851-697 x -914437-2083 x -305983-7463 x -85403-17999 x -35411


How do I find the factor combinations of the number 637,362,589?

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 637,362,589, 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.

1 637,362,589
-1 -637,362,589

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 637,362,589.

Example:
1 x 637,362,589 = 637,362,589
and
-1 x -637,362,589 = 637,362,589
Notice both answers equal 637,362,589

With that explanation out of the way, let's continue. Next, we take the number 637,362,589 and divide it by 2:

637,362,589 ÷ 2 = 318,681,294.5

If the quotient is a whole number, then 2 and 318,681,294.5 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:

1 637,362,589
-1 -637,362,589

Now, we try dividing 637,362,589 by 3:

637,362,589 ÷ 3 = 212,454,196.3333

If the quotient is a whole number, then 3 and 212,454,196.3333 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:

1 637,362,589
-1 -637,362,589

Let's try dividing by 4:

637,362,589 ÷ 4 = 159,340,647.25

If the quotient is a whole number, then 4 and 159,340,647.25 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:

1 637,362,589
-1 637,362,589
Keep dividing by the next highest number until you cannot divide anymore.

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

117414396972,0837,46317,99935,41185,403305,983914,4371,451,85115,545,42937,491,917637,362,589
-1-17-41-439-697-2,083-7,463-17,999-35,411-85,403-305,983-914,437-1,451,851-15,545,429-37,491,917-637,362,589

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