Q: What are the factor combinations of the number 18,443,471?

 A:
Positive:   1 x 1844347119 x 970709293 x 629473313 x 5567
Negative: -1 x -18443471-19 x -970709-293 x -62947-3313 x -5567


How do I find the factor combinations of the number 18,443,471?

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 18,443,471, 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 18,443,471
-1 -18,443,471

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 18,443,471.

Example:
1 x 18,443,471 = 18,443,471
and
-1 x -18,443,471 = 18,443,471
Notice both answers equal 18,443,471

With that explanation out of the way, let's continue. Next, we take the number 18,443,471 and divide it by 2:

18,443,471 ÷ 2 = 9,221,735.5

If the quotient is a whole number, then 2 and 9,221,735.5 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 18,443,471
-1 -18,443,471

Now, we try dividing 18,443,471 by 3:

18,443,471 ÷ 3 = 6,147,823.6667

If the quotient is a whole number, then 3 and 6,147,823.6667 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 18,443,471
-1 -18,443,471

Let's try dividing by 4:

18,443,471 ÷ 4 = 4,610,867.75

If the quotient is a whole number, then 4 and 4,610,867.75 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 18,443,471
-1 18,443,471
Keep dividing by the next highest number until you cannot divide anymore.

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

1192933,3135,56762,947970,70918,443,471
-1-19-293-3,313-5,567-62,947-970,709-18,443,471

More Examples

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