Q: What are the factor combinations of the number 20,681,671?

 A:
Positive:   1 x 2068167119 x 108850941 x 504431139 x 148789191 x 108281779 x 265492641 x 78313629 x 5699
Negative: -1 x -20681671-19 x -1088509-41 x -504431-139 x -148789-191 x -108281-779 x -26549-2641 x -7831-3629 x -5699


How do I find the factor combinations of the number 20,681,671?

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 20,681,671, 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 20,681,671
-1 -20,681,671

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 20,681,671.

Example:
1 x 20,681,671 = 20,681,671
and
-1 x -20,681,671 = 20,681,671
Notice both answers equal 20,681,671

With that explanation out of the way, let's continue. Next, we take the number 20,681,671 and divide it by 2:

20,681,671 ÷ 2 = 10,340,835.5

If the quotient is a whole number, then 2 and 10,340,835.5 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 20,681,671
-1 -20,681,671

Now, we try dividing 20,681,671 by 3:

20,681,671 ÷ 3 = 6,893,890.3333

If the quotient is a whole number, then 3 and 6,893,890.3333 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 20,681,671
-1 -20,681,671

Let's try dividing by 4:

20,681,671 ÷ 4 = 5,170,417.75

If the quotient is a whole number, then 4 and 5,170,417.75 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 20,681,671
-1 20,681,671
Keep dividing by the next highest number until you cannot divide anymore.

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

119411391917792,6413,6295,6997,83126,549108,281148,789504,4311,088,50920,681,671
-1-19-41-139-191-779-2,641-3,629-5,699-7,831-26,549-108,281-148,789-504,431-1,088,509-20,681,671

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 20,681,671:


Ask a Question