Q: What are the factor combinations of the number 20,867,405?

 A:
Positive:   1 x 208674055 x 417348113 x 160518565 x 321037
Negative: -1 x -20867405-5 x -4173481-13 x -1605185-65 x -321037


How do I find the factor combinations of the number 20,867,405?

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 20,867,405, 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 20,867,405
-1 -20,867,405

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 20,867,405.

Example:
1 x 20,867,405 = 20,867,405
and
-1 x -20,867,405 = 20,867,405
Notice both answers equal 20,867,405

With that explanation out of the way, let's continue. Next, we take the number 20,867,405 and divide it by 2:

20,867,405 ÷ 2 = 10,433,702.5

If the quotient is a whole number, then 2 and 10,433,702.5 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 20,867,405
-1 -20,867,405

Now, we try dividing 20,867,405 by 3:

20,867,405 ÷ 3 = 6,955,801.6667

If the quotient is a whole number, then 3 and 6,955,801.6667 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 20,867,405
-1 -20,867,405

Let's try dividing by 4:

20,867,405 ÷ 4 = 5,216,851.25

If the quotient is a whole number, then 4 and 5,216,851.25 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 20,867,405
-1 20,867,405
Keep dividing by the next highest number until you cannot divide anymore.

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

151365321,0371,605,1854,173,48120,867,405
-1-5-13-65-321,037-1,605,185-4,173,481-20,867,405

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 20,867,405:


Ask a Question