Q: What are the factor combinations of the number 850,848?

 A:
Positive:   1 x 8508482 x 4254243 x 2836164 x 2127126 x 1418088 x 10635612 x 7090416 x 5317824 x 3545232 x 2658948 x 1772696 x 8863
Negative: -1 x -850848-2 x -425424-3 x -283616-4 x -212712-6 x -141808-8 x -106356-12 x -70904-16 x -53178-24 x -35452-32 x -26589-48 x -17726-96 x -8863


How do I find the factor combinations of the number 850,848?

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 850,848, 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.

1 850,848
-1 -850,848

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 850,848.

Example:
1 x 850,848 = 850,848
and
-1 x -850,848 = 850,848
Notice both answers equal 850,848

With that explanation out of the way, let's continue. Next, we take the number 850,848 and divide it by 2:

850,848 ÷ 2 = 425,424

If the quotient is a whole number, then 2 and 425,424 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 2 425,424 850,848
-1 -2 -425,424 -850,848

Now, we try dividing 850,848 by 3:

850,848 ÷ 3 = 283,616

If the quotient is a whole number, then 3 and 283,616 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 3 283,616 425,424 850,848
-1 -2 -3 -283,616 -425,424 -850,848

Let's try dividing by 4:

850,848 ÷ 4 = 212,712

If the quotient is a whole number, then 4 and 212,712 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 3 4 212,712 283,616 425,424 850,848
-1 -2 -3 -4 -212,712 -283,616 -425,424 850,848
Keep dividing by the next highest number until you cannot divide anymore.

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

1234681216243248968,86317,72626,58935,45253,17870,904106,356141,808212,712283,616425,424850,848
-1-2-3-4-6-8-12-16-24-32-48-96-8,863-17,726-26,589-35,452-53,178-70,904-106,356-141,808-212,712-283,616-425,424-850,848

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