Q: What are the factor combinations of the number 850,894?

 A:
Positive:   1 x 8508942 x 42544711 x 7735422 x 38677
Negative: -1 x -850894-2 x -425447-11 x -77354-22 x -38677


How do I find the factor combinations of the number 850,894?

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 850,894, 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.

1 850,894
-1 -850,894

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 850,894.

Example:
1 x 850,894 = 850,894
and
-1 x -850,894 = 850,894
Notice both answers equal 850,894

With that explanation out of the way, let's continue. Next, we take the number 850,894 and divide it by 2:

850,894 ÷ 2 = 425,447

If the quotient is a whole number, then 2 and 425,447 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 425,447 850,894
-1 -2 -425,447 -850,894

Now, we try dividing 850,894 by 3:

850,894 ÷ 3 = 283,631.3333

If the quotient is a whole number, then 3 and 283,631.3333 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 2 425,447 850,894
-1 -2 -425,447 -850,894

Let's try dividing by 4:

850,894 ÷ 4 = 212,723.5

If the quotient is a whole number, then 4 and 212,723.5 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 2 425,447 850,894
-1 -2 -425,447 850,894
Keep dividing by the next highest number until you cannot divide anymore.

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

12112238,67777,354425,447850,894
-1-2-11-22-38,677-77,354-425,447-850,894

More Examples

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