Q: What are the factor combinations of the number 237,419,855?

 A:
Positive:   1 x 2374198555 x 4748397131 x 7658705155 x 1531741961 x 2470554805 x 49411
Negative: -1 x -237419855-5 x -47483971-31 x -7658705-155 x -1531741-961 x -247055-4805 x -49411


How do I find the factor combinations of the number 237,419,855?

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 237,419,855, 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.

1 237,419,855
-1 -237,419,855

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 237,419,855.

Example:
1 x 237,419,855 = 237,419,855
and
-1 x -237,419,855 = 237,419,855
Notice both answers equal 237,419,855

With that explanation out of the way, let's continue. Next, we take the number 237,419,855 and divide it by 2:

237,419,855 ÷ 2 = 118,709,927.5

If the quotient is a whole number, then 2 and 118,709,927.5 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:

1 237,419,855
-1 -237,419,855

Now, we try dividing 237,419,855 by 3:

237,419,855 ÷ 3 = 79,139,951.6667

If the quotient is a whole number, then 3 and 79,139,951.6667 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:

1 237,419,855
-1 -237,419,855

Let's try dividing by 4:

237,419,855 ÷ 4 = 59,354,963.75

If the quotient is a whole number, then 4 and 59,354,963.75 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:

1 237,419,855
-1 237,419,855
Keep dividing by the next highest number until you cannot divide anymore.

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

15311559614,80549,411247,0551,531,7417,658,70547,483,971237,419,855
-1-5-31-155-961-4,805-49,411-247,055-1,531,741-7,658,705-47,483,971-237,419,855

More Examples

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