Q: What are the factor combinations of the number 20,714,393?

 A:
Positive:   1 x 207143937 x 295919983 x 249571101 x 205093353 x 58681581 x 35653707 x 292992471 x 8383
Negative: -1 x -20714393-7 x -2959199-83 x -249571-101 x -205093-353 x -58681-581 x -35653-707 x -29299-2471 x -8383


How do I find the factor combinations of the number 20,714,393?

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 20,714,393, 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 20,714,393
-1 -20,714,393

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 20,714,393.

Example:
1 x 20,714,393 = 20,714,393
and
-1 x -20,714,393 = 20,714,393
Notice both answers equal 20,714,393

With that explanation out of the way, let's continue. Next, we take the number 20,714,393 and divide it by 2:

20,714,393 ÷ 2 = 10,357,196.5

If the quotient is a whole number, then 2 and 10,357,196.5 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 20,714,393
-1 -20,714,393

Now, we try dividing 20,714,393 by 3:

20,714,393 ÷ 3 = 6,904,797.6667

If the quotient is a whole number, then 3 and 6,904,797.6667 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 20,714,393
-1 -20,714,393

Let's try dividing by 4:

20,714,393 ÷ 4 = 5,178,598.25

If the quotient is a whole number, then 4 and 5,178,598.25 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 20,714,393
-1 20,714,393
Keep dividing by the next highest number until you cannot divide anymore.

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

17831013535817072,4718,38329,29935,65358,681205,093249,5712,959,19920,714,393
-1-7-83-101-353-581-707-2,471-8,383-29,299-35,653-58,681-205,093-249,571-2,959,199-20,714,393

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