Q: What are the factor combinations of the number 18,202,943?

 A:
Positive:   1 x 1820294311 x 165481379 x 230417869 x 20947
Negative: -1 x -18202943-11 x -1654813-79 x -230417-869 x -20947


How do I find the factor combinations of the number 18,202,943?

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 18,202,943, 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 18,202,943
-1 -18,202,943

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 18,202,943.

Example:
1 x 18,202,943 = 18,202,943
and
-1 x -18,202,943 = 18,202,943
Notice both answers equal 18,202,943

With that explanation out of the way, let's continue. Next, we take the number 18,202,943 and divide it by 2:

18,202,943 ÷ 2 = 9,101,471.5

If the quotient is a whole number, then 2 and 9,101,471.5 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 18,202,943
-1 -18,202,943

Now, we try dividing 18,202,943 by 3:

18,202,943 ÷ 3 = 6,067,647.6667

If the quotient is a whole number, then 3 and 6,067,647.6667 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 18,202,943
-1 -18,202,943

Let's try dividing by 4:

18,202,943 ÷ 4 = 4,550,735.75

If the quotient is a whole number, then 4 and 4,550,735.75 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 18,202,943
-1 18,202,943
Keep dividing by the next highest number until you cannot divide anymore.

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

1117986920,947230,4171,654,81318,202,943
-1-11-79-869-20,947-230,417-1,654,813-18,202,943

More Examples

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