Q: What are the factor combinations of the number 20,576,135?

 A:
Positive:   1 x 205761355 x 41152271049 x 196153923 x 5245
Negative: -1 x -20576135-5 x -4115227-1049 x -19615-3923 x -5245


How do I find the factor combinations of the number 20,576,135?

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 20,576,135, 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 20,576,135
-1 -20,576,135

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 20,576,135.

Example:
1 x 20,576,135 = 20,576,135
and
-1 x -20,576,135 = 20,576,135
Notice both answers equal 20,576,135

With that explanation out of the way, let's continue. Next, we take the number 20,576,135 and divide it by 2:

20,576,135 ÷ 2 = 10,288,067.5

If the quotient is a whole number, then 2 and 10,288,067.5 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 20,576,135
-1 -20,576,135

Now, we try dividing 20,576,135 by 3:

20,576,135 ÷ 3 = 6,858,711.6667

If the quotient is a whole number, then 3 and 6,858,711.6667 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 20,576,135
-1 -20,576,135

Let's try dividing by 4:

20,576,135 ÷ 4 = 5,144,033.75

If the quotient is a whole number, then 4 and 5,144,033.75 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 20,576,135
-1 20,576,135
Keep dividing by the next highest number until you cannot divide anymore.

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

151,0493,9235,24519,6154,115,22720,576,135
-1-5-1,049-3,923-5,245-19,615-4,115,227-20,576,135

More Examples

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