Q: What are the factor combinations of the number 9,231,799?

 A:
Positive:   1 x 923179917 x 54304743 x 21469373 x 126463173 x 53363731 x 126291241 x 74392941 x 3139
Negative: -1 x -9231799-17 x -543047-43 x -214693-73 x -126463-173 x -53363-731 x -12629-1241 x -7439-2941 x -3139


How do I find the factor combinations of the number 9,231,799?

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 9,231,799, 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 9,231,799
-1 -9,231,799

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 9,231,799.

Example:
1 x 9,231,799 = 9,231,799
and
-1 x -9,231,799 = 9,231,799
Notice both answers equal 9,231,799

With that explanation out of the way, let's continue. Next, we take the number 9,231,799 and divide it by 2:

9,231,799 ÷ 2 = 4,615,899.5

If the quotient is a whole number, then 2 and 4,615,899.5 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 9,231,799
-1 -9,231,799

Now, we try dividing 9,231,799 by 3:

9,231,799 ÷ 3 = 3,077,266.3333

If the quotient is a whole number, then 3 and 3,077,266.3333 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 9,231,799
-1 -9,231,799

Let's try dividing by 4:

9,231,799 ÷ 4 = 2,307,949.75

If the quotient is a whole number, then 4 and 2,307,949.75 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 9,231,799
-1 9,231,799
Keep dividing by the next highest number until you cannot divide anymore.

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

11743731737311,2412,9413,1397,43912,62953,363126,463214,693543,0479,231,799
-1-17-43-73-173-731-1,241-2,941-3,139-7,439-12,629-53,363-126,463-214,693-543,047-9,231,799

More Examples

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