Q: What are the factor combinations of the number 8,004,437?

 A:
Positive:   1 x 80044377 x 114349123 x 34801983 x 96439161 x 49717581 x 13777599 x 133631909 x 4193
Negative: -1 x -8004437-7 x -1143491-23 x -348019-83 x -96439-161 x -49717-581 x -13777-599 x -13363-1909 x -4193


How do I find the factor combinations of the number 8,004,437?

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 8,004,437, 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 8,004,437
-1 -8,004,437

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 8,004,437.

Example:
1 x 8,004,437 = 8,004,437
and
-1 x -8,004,437 = 8,004,437
Notice both answers equal 8,004,437

With that explanation out of the way, let's continue. Next, we take the number 8,004,437 and divide it by 2:

8,004,437 ÷ 2 = 4,002,218.5

If the quotient is a whole number, then 2 and 4,002,218.5 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 8,004,437
-1 -8,004,437

Now, we try dividing 8,004,437 by 3:

8,004,437 ÷ 3 = 2,668,145.6667

If the quotient is a whole number, then 3 and 2,668,145.6667 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 8,004,437
-1 -8,004,437

Let's try dividing by 4:

8,004,437 ÷ 4 = 2,001,109.25

If the quotient is a whole number, then 4 and 2,001,109.25 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 8,004,437
-1 8,004,437
Keep dividing by the next highest number until you cannot divide anymore.

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

1723831615815991,9094,19313,36313,77749,71796,439348,0191,143,4918,004,437
-1-7-23-83-161-581-599-1,909-4,193-13,363-13,777-49,717-96,439-348,019-1,143,491-8,004,437

More Examples

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