Q: What are the factor combinations of the number 222,331,027?

 A:
Positive:   1 x 22233102719 x 1170163343 x 5170489817 x 272131
Negative: -1 x -222331027-19 x -11701633-43 x -5170489-817 x -272131


How do I find the factor combinations of the number 222,331,027?

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 222,331,027, 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.

1 222,331,027
-1 -222,331,027

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 222,331,027.

Example:
1 x 222,331,027 = 222,331,027
and
-1 x -222,331,027 = 222,331,027
Notice both answers equal 222,331,027

With that explanation out of the way, let's continue. Next, we take the number 222,331,027 and divide it by 2:

222,331,027 ÷ 2 = 111,165,513.5

If the quotient is a whole number, then 2 and 111,165,513.5 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:

1 222,331,027
-1 -222,331,027

Now, we try dividing 222,331,027 by 3:

222,331,027 ÷ 3 = 74,110,342.3333

If the quotient is a whole number, then 3 and 74,110,342.3333 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:

1 222,331,027
-1 -222,331,027

Let's try dividing by 4:

222,331,027 ÷ 4 = 55,582,756.75

If the quotient is a whole number, then 4 and 55,582,756.75 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:

1 222,331,027
-1 222,331,027
Keep dividing by the next highest number until you cannot divide anymore.

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

11943817272,1315,170,48911,701,633222,331,027
-1-19-43-817-272,131-5,170,489-11,701,633-222,331,027

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 222,331,027:


Ask a Question