Q: What are the factor combinations of the number 848,623,837?

 A:
Positive:   1 x 848623837227 x 3738431
Negative: -1 x -848623837-227 x -3738431


How do I find the factor combinations of the number 848,623,837?

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 848,623,837, 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.

1 848,623,837
-1 -848,623,837

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 848,623,837.

Example:
1 x 848,623,837 = 848,623,837
and
-1 x -848,623,837 = 848,623,837
Notice both answers equal 848,623,837

With that explanation out of the way, let's continue. Next, we take the number 848,623,837 and divide it by 2:

848,623,837 ÷ 2 = 424,311,918.5

If the quotient is a whole number, then 2 and 424,311,918.5 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:

1 848,623,837
-1 -848,623,837

Now, we try dividing 848,623,837 by 3:

848,623,837 ÷ 3 = 282,874,612.3333

If the quotient is a whole number, then 3 and 282,874,612.3333 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:

1 848,623,837
-1 -848,623,837

Let's try dividing by 4:

848,623,837 ÷ 4 = 212,155,959.25

If the quotient is a whole number, then 4 and 212,155,959.25 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:

1 848,623,837
-1 848,623,837
Keep dividing by the next highest number until you cannot divide anymore.

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

12273,738,431848,623,837
-1-227-3,738,431-848,623,837

More Examples

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