Q: What are the factor combinations of the number 8,604,737?

 A:
Positive:   1 x 860473717 x 50616123 x 37411959 x 145843373 x 23069391 x 220071003 x 85791357 x 6341
Negative: -1 x -8604737-17 x -506161-23 x -374119-59 x -145843-373 x -23069-391 x -22007-1003 x -8579-1357 x -6341


How do I find the factor combinations of the number 8,604,737?

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 8,604,737, 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 8,604,737
-1 -8,604,737

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 8,604,737.

Example:
1 x 8,604,737 = 8,604,737
and
-1 x -8,604,737 = 8,604,737
Notice both answers equal 8,604,737

With that explanation out of the way, let's continue. Next, we take the number 8,604,737 and divide it by 2:

8,604,737 ÷ 2 = 4,302,368.5

If the quotient is a whole number, then 2 and 4,302,368.5 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 8,604,737
-1 -8,604,737

Now, we try dividing 8,604,737 by 3:

8,604,737 ÷ 3 = 2,868,245.6667

If the quotient is a whole number, then 3 and 2,868,245.6667 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 8,604,737
-1 -8,604,737

Let's try dividing by 4:

8,604,737 ÷ 4 = 2,151,184.25

If the quotient is a whole number, then 4 and 2,151,184.25 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 8,604,737
-1 8,604,737
Keep dividing by the next highest number until you cannot divide anymore.

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

11723593733911,0031,3576,3418,57922,00723,069145,843374,119506,1618,604,737
-1-17-23-59-373-391-1,003-1,357-6,341-8,579-22,007-23,069-145,843-374,119-506,161-8,604,737

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