Q: What are the factor combinations of the number 220,011,103?

 A:
Positive:   1 x 22001110313 x 16923931673 x 3269118749 x 25147
Negative: -1 x -220011103-13 x -16923931-673 x -326911-8749 x -25147


How do I find the factor combinations of the number 220,011,103?

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 220,011,103, 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.

1 220,011,103
-1 -220,011,103

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 220,011,103.

Example:
1 x 220,011,103 = 220,011,103
and
-1 x -220,011,103 = 220,011,103
Notice both answers equal 220,011,103

With that explanation out of the way, let's continue. Next, we take the number 220,011,103 and divide it by 2:

220,011,103 ÷ 2 = 110,005,551.5

If the quotient is a whole number, then 2 and 110,005,551.5 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:

1 220,011,103
-1 -220,011,103

Now, we try dividing 220,011,103 by 3:

220,011,103 ÷ 3 = 73,337,034.3333

If the quotient is a whole number, then 3 and 73,337,034.3333 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:

1 220,011,103
-1 -220,011,103

Let's try dividing by 4:

220,011,103 ÷ 4 = 55,002,775.75

If the quotient is a whole number, then 4 and 55,002,775.75 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:

1 220,011,103
-1 220,011,103
Keep dividing by the next highest number until you cannot divide anymore.

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

1136738,74925,147326,91116,923,931220,011,103
-1-13-673-8,749-25,147-326,911-16,923,931-220,011,103

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 220,011,103:


Ask a Question