Q: What are the factor combinations of the number 20,335,015?

 A:
Positive:   1 x 203350155 x 406700337 x 549595185 x 109919
Negative: -1 x -20335015-5 x -4067003-37 x -549595-185 x -109919


How do I find the factor combinations of the number 20,335,015?

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 20,335,015, 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 20,335,015
-1 -20,335,015

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 20,335,015.

Example:
1 x 20,335,015 = 20,335,015
and
-1 x -20,335,015 = 20,335,015
Notice both answers equal 20,335,015

With that explanation out of the way, let's continue. Next, we take the number 20,335,015 and divide it by 2:

20,335,015 ÷ 2 = 10,167,507.5

If the quotient is a whole number, then 2 and 10,167,507.5 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 20,335,015
-1 -20,335,015

Now, we try dividing 20,335,015 by 3:

20,335,015 ÷ 3 = 6,778,338.3333

If the quotient is a whole number, then 3 and 6,778,338.3333 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 20,335,015
-1 -20,335,015

Let's try dividing by 4:

20,335,015 ÷ 4 = 5,083,753.75

If the quotient is a whole number, then 4 and 5,083,753.75 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 20,335,015
-1 20,335,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1537185109,919549,5954,067,00320,335,015
-1-5-37-185-109,919-549,595-4,067,003-20,335,015

More Examples

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