Q: What are the factor combinations of the number 20,803,165?

 A:
Positive:   1 x 208031655 x 416063367 x 310495335 x 62099
Negative: -1 x -20803165-5 x -4160633-67 x -310495-335 x -62099


How do I find the factor combinations of the number 20,803,165?

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 20,803,165, 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 20,803,165
-1 -20,803,165

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 20,803,165.

Example:
1 x 20,803,165 = 20,803,165
and
-1 x -20,803,165 = 20,803,165
Notice both answers equal 20,803,165

With that explanation out of the way, let's continue. Next, we take the number 20,803,165 and divide it by 2:

20,803,165 ÷ 2 = 10,401,582.5

If the quotient is a whole number, then 2 and 10,401,582.5 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 20,803,165
-1 -20,803,165

Now, we try dividing 20,803,165 by 3:

20,803,165 ÷ 3 = 6,934,388.3333

If the quotient is a whole number, then 3 and 6,934,388.3333 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 20,803,165
-1 -20,803,165

Let's try dividing by 4:

20,803,165 ÷ 4 = 5,200,791.25

If the quotient is a whole number, then 4 and 5,200,791.25 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 20,803,165
-1 20,803,165
Keep dividing by the next highest number until you cannot divide anymore.

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

156733562,099310,4954,160,63320,803,165
-1-5-67-335-62,099-310,495-4,160,633-20,803,165

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 20,803,165:


Ask a Question