Q: What are the factor combinations of the number 837,367,213?

 A:
Positive:   1 x 837367213787 x 1063999
Negative: -1 x -837367213-787 x -1063999


How do I find the factor combinations of the number 837,367,213?

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 837,367,213, 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.

1 837,367,213
-1 -837,367,213

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 837,367,213.

Example:
1 x 837,367,213 = 837,367,213
and
-1 x -837,367,213 = 837,367,213
Notice both answers equal 837,367,213

With that explanation out of the way, let's continue. Next, we take the number 837,367,213 and divide it by 2:

837,367,213 ÷ 2 = 418,683,606.5

If the quotient is a whole number, then 2 and 418,683,606.5 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:

1 837,367,213
-1 -837,367,213

Now, we try dividing 837,367,213 by 3:

837,367,213 ÷ 3 = 279,122,404.3333

If the quotient is a whole number, then 3 and 279,122,404.3333 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:

1 837,367,213
-1 -837,367,213

Let's try dividing by 4:

837,367,213 ÷ 4 = 209,341,803.25

If the quotient is a whole number, then 4 and 209,341,803.25 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:

1 837,367,213
-1 837,367,213
Keep dividing by the next highest number until you cannot divide anymore.

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

17871,063,999837,367,213
-1-787-1,063,999-837,367,213

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 837,367,213:


Ask a Question