Q: What are the factor combinations of the number 8,502,835?

 A:
Positive:   1 x 85028355 x 170056711 x 77298531 x 27428555 x 154597155 x 54857341 x 249351705 x 4987
Negative: -1 x -8502835-5 x -1700567-11 x -772985-31 x -274285-55 x -154597-155 x -54857-341 x -24935-1705 x -4987


How do I find the factor combinations of the number 8,502,835?

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 8,502,835, 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 8,502,835
-1 -8,502,835

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 8,502,835.

Example:
1 x 8,502,835 = 8,502,835
and
-1 x -8,502,835 = 8,502,835
Notice both answers equal 8,502,835

With that explanation out of the way, let's continue. Next, we take the number 8,502,835 and divide it by 2:

8,502,835 ÷ 2 = 4,251,417.5

If the quotient is a whole number, then 2 and 4,251,417.5 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 8,502,835
-1 -8,502,835

Now, we try dividing 8,502,835 by 3:

8,502,835 ÷ 3 = 2,834,278.3333

If the quotient is a whole number, then 3 and 2,834,278.3333 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 8,502,835
-1 -8,502,835

Let's try dividing by 4:

8,502,835 ÷ 4 = 2,125,708.75

If the quotient is a whole number, then 4 and 2,125,708.75 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 8,502,835
-1 8,502,835
Keep dividing by the next highest number until you cannot divide anymore.

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

151131551553411,7054,98724,93554,857154,597274,285772,9851,700,5678,502,835
-1-5-11-31-55-155-341-1,705-4,987-24,935-54,857-154,597-274,285-772,985-1,700,567-8,502,835

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 8,502,835:


Ask a Question