Q: What are the factor combinations of the number 13,933,831?

 A:
Positive:   1 x 139338311367 x 10193
Negative: -1 x -13933831-1367 x -10193


How do I find the factor combinations of the number 13,933,831?

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 13,933,831, 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 13,933,831
-1 -13,933,831

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 13,933,831.

Example:
1 x 13,933,831 = 13,933,831
and
-1 x -13,933,831 = 13,933,831
Notice both answers equal 13,933,831

With that explanation out of the way, let's continue. Next, we take the number 13,933,831 and divide it by 2:

13,933,831 ÷ 2 = 6,966,915.5

If the quotient is a whole number, then 2 and 6,966,915.5 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 13,933,831
-1 -13,933,831

Now, we try dividing 13,933,831 by 3:

13,933,831 ÷ 3 = 4,644,610.3333

If the quotient is a whole number, then 3 and 4,644,610.3333 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 13,933,831
-1 -13,933,831

Let's try dividing by 4:

13,933,831 ÷ 4 = 3,483,457.75

If the quotient is a whole number, then 4 and 3,483,457.75 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 13,933,831
-1 13,933,831
Keep dividing by the next highest number until you cannot divide anymore.

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

11,36710,19313,933,831
-1-1,367-10,193-13,933,831

More Examples

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