Q: What are the factor combinations of the number 18,219,869?

 A:
Positive:   1 x 1821986917 x 1071757149 x 1222812533 x 7193
Negative: -1 x -18219869-17 x -1071757-149 x -122281-2533 x -7193


How do I find the factor combinations of the number 18,219,869?

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 18,219,869, 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 18,219,869
-1 -18,219,869

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 18,219,869.

Example:
1 x 18,219,869 = 18,219,869
and
-1 x -18,219,869 = 18,219,869
Notice both answers equal 18,219,869

With that explanation out of the way, let's continue. Next, we take the number 18,219,869 and divide it by 2:

18,219,869 ÷ 2 = 9,109,934.5

If the quotient is a whole number, then 2 and 9,109,934.5 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 18,219,869
-1 -18,219,869

Now, we try dividing 18,219,869 by 3:

18,219,869 ÷ 3 = 6,073,289.6667

If the quotient is a whole number, then 3 and 6,073,289.6667 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 18,219,869
-1 -18,219,869

Let's try dividing by 4:

18,219,869 ÷ 4 = 4,554,967.25

If the quotient is a whole number, then 4 and 4,554,967.25 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 18,219,869
-1 18,219,869
Keep dividing by the next highest number until you cannot divide anymore.

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

1171492,5337,193122,2811,071,75718,219,869
-1-17-149-2,533-7,193-122,281-1,071,757-18,219,869

More Examples

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