Q: What are the factor combinations of the number 20,188,871?

 A:
Positive:   1 x 2018887123 x 877777109 x 1852192507 x 8053
Negative: -1 x -20188871-23 x -877777-109 x -185219-2507 x -8053


How do I find the factor combinations of the number 20,188,871?

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 20,188,871, 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 20,188,871
-1 -20,188,871

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 20,188,871.

Example:
1 x 20,188,871 = 20,188,871
and
-1 x -20,188,871 = 20,188,871
Notice both answers equal 20,188,871

With that explanation out of the way, let's continue. Next, we take the number 20,188,871 and divide it by 2:

20,188,871 ÷ 2 = 10,094,435.5

If the quotient is a whole number, then 2 and 10,094,435.5 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 20,188,871
-1 -20,188,871

Now, we try dividing 20,188,871 by 3:

20,188,871 ÷ 3 = 6,729,623.6667

If the quotient is a whole number, then 3 and 6,729,623.6667 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 20,188,871
-1 -20,188,871

Let's try dividing by 4:

20,188,871 ÷ 4 = 5,047,217.75

If the quotient is a whole number, then 4 and 5,047,217.75 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 20,188,871
-1 20,188,871
Keep dividing by the next highest number until you cannot divide anymore.

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

1231092,5078,053185,219877,77720,188,871
-1-23-109-2,507-8,053-185,219-877,777-20,188,871

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 20,188,871:


Ask a Question