Q: What are the factor combinations of the number 8,521,835?

 A:
Positive:   1 x 85218355 x 17043677 x 121740535 x 24348149 x 173915245 x 34783343 x 248451715 x 4969
Negative: -1 x -8521835-5 x -1704367-7 x -1217405-35 x -243481-49 x -173915-245 x -34783-343 x -24845-1715 x -4969


How do I find the factor combinations of the number 8,521,835?

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 8,521,835, 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 8,521,835
-1 -8,521,835

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 8,521,835.

Example:
1 x 8,521,835 = 8,521,835
and
-1 x -8,521,835 = 8,521,835
Notice both answers equal 8,521,835

With that explanation out of the way, let's continue. Next, we take the number 8,521,835 and divide it by 2:

8,521,835 ÷ 2 = 4,260,917.5

If the quotient is a whole number, then 2 and 4,260,917.5 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 8,521,835
-1 -8,521,835

Now, we try dividing 8,521,835 by 3:

8,521,835 ÷ 3 = 2,840,611.6667

If the quotient is a whole number, then 3 and 2,840,611.6667 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 8,521,835
-1 -8,521,835

Let's try dividing by 4:

8,521,835 ÷ 4 = 2,130,458.75

If the quotient is a whole number, then 4 and 2,130,458.75 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 8,521,835
-1 8,521,835
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492453431,7154,96924,84534,783173,915243,4811,217,4051,704,3678,521,835
-1-5-7-35-49-245-343-1,715-4,969-24,845-34,783-173,915-243,481-1,217,405-1,704,367-8,521,835

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