Q: What are the factor combinations of the number 8,764,909?

 A:
Positive:   1 x 876490919 x 46131123 x 38108331 x 282739437 x 20057589 x 14881647 x 13547713 x 12293
Negative: -1 x -8764909-19 x -461311-23 x -381083-31 x -282739-437 x -20057-589 x -14881-647 x -13547-713 x -12293


How do I find the factor combinations of the number 8,764,909?

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 8,764,909, 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 8,764,909
-1 -8,764,909

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 8,764,909.

Example:
1 x 8,764,909 = 8,764,909
and
-1 x -8,764,909 = 8,764,909
Notice both answers equal 8,764,909

With that explanation out of the way, let's continue. Next, we take the number 8,764,909 and divide it by 2:

8,764,909 ÷ 2 = 4,382,454.5

If the quotient is a whole number, then 2 and 4,382,454.5 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 8,764,909
-1 -8,764,909

Now, we try dividing 8,764,909 by 3:

8,764,909 ÷ 3 = 2,921,636.3333

If the quotient is a whole number, then 3 and 2,921,636.3333 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 8,764,909
-1 -8,764,909

Let's try dividing by 4:

8,764,909 ÷ 4 = 2,191,227.25

If the quotient is a whole number, then 4 and 2,191,227.25 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 8,764,909
-1 8,764,909
Keep dividing by the next highest number until you cannot divide anymore.

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

119233143758964771312,29313,54714,88120,057282,739381,083461,3118,764,909
-1-19-23-31-437-589-647-713-12,293-13,547-14,881-20,057-282,739-381,083-461,311-8,764,909

More Examples

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