Q: What are the factor combinations of the number 637,801,213?

 A:
Positive:   1 x 6378012137 x 91114459107 x 5960759749 x 851537
Negative: -1 x -637801213-7 x -91114459-107 x -5960759-749 x -851537


How do I find the factor combinations of the number 637,801,213?

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 637,801,213, 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.

1 637,801,213
-1 -637,801,213

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 637,801,213.

Example:
1 x 637,801,213 = 637,801,213
and
-1 x -637,801,213 = 637,801,213
Notice both answers equal 637,801,213

With that explanation out of the way, let's continue. Next, we take the number 637,801,213 and divide it by 2:

637,801,213 ÷ 2 = 318,900,606.5

If the quotient is a whole number, then 2 and 318,900,606.5 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:

1 637,801,213
-1 -637,801,213

Now, we try dividing 637,801,213 by 3:

637,801,213 ÷ 3 = 212,600,404.3333

If the quotient is a whole number, then 3 and 212,600,404.3333 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:

1 637,801,213
-1 -637,801,213

Let's try dividing by 4:

637,801,213 ÷ 4 = 159,450,303.25

If the quotient is a whole number, then 4 and 159,450,303.25 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:

1 637,801,213
-1 637,801,213
Keep dividing by the next highest number until you cannot divide anymore.

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

17107749851,5375,960,75991,114,459637,801,213
-1-7-107-749-851,537-5,960,759-91,114,459-637,801,213

More Examples

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