Q: What are the factor combinations of the number 20,310,707?

 A:
Positive:   1 x 20310707167 x 121621
Negative: -1 x -20310707-167 x -121621


How do I find the factor combinations of the number 20,310,707?

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 20,310,707, 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 20,310,707
-1 -20,310,707

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 20,310,707.

Example:
1 x 20,310,707 = 20,310,707
and
-1 x -20,310,707 = 20,310,707
Notice both answers equal 20,310,707

With that explanation out of the way, let's continue. Next, we take the number 20,310,707 and divide it by 2:

20,310,707 ÷ 2 = 10,155,353.5

If the quotient is a whole number, then 2 and 10,155,353.5 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 20,310,707
-1 -20,310,707

Now, we try dividing 20,310,707 by 3:

20,310,707 ÷ 3 = 6,770,235.6667

If the quotient is a whole number, then 3 and 6,770,235.6667 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 20,310,707
-1 -20,310,707

Let's try dividing by 4:

20,310,707 ÷ 4 = 5,077,676.75

If the quotient is a whole number, then 4 and 5,077,676.75 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 20,310,707
-1 20,310,707
Keep dividing by the next highest number until you cannot divide anymore.

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

1167121,62120,310,707
-1-167-121,621-20,310,707

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 20,310,707:


Ask a Question