Q: What are the factor combinations of the number 222,322,009?

 A:
Positive:   1 x 2223220097 x 3176028713 x 1710169391 x 2443099127 x 1750567889 x 2500811651 x 13465911557 x 19237
Negative: -1 x -222322009-7 x -31760287-13 x -17101693-91 x -2443099-127 x -1750567-889 x -250081-1651 x -134659-11557 x -19237


How do I find the factor combinations of the number 222,322,009?

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 222,322,009, 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.

1 222,322,009
-1 -222,322,009

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 222,322,009.

Example:
1 x 222,322,009 = 222,322,009
and
-1 x -222,322,009 = 222,322,009
Notice both answers equal 222,322,009

With that explanation out of the way, let's continue. Next, we take the number 222,322,009 and divide it by 2:

222,322,009 ÷ 2 = 111,161,004.5

If the quotient is a whole number, then 2 and 111,161,004.5 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:

1 222,322,009
-1 -222,322,009

Now, we try dividing 222,322,009 by 3:

222,322,009 ÷ 3 = 74,107,336.3333

If the quotient is a whole number, then 3 and 74,107,336.3333 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:

1 222,322,009
-1 -222,322,009

Let's try dividing by 4:

222,322,009 ÷ 4 = 55,580,502.25

If the quotient is a whole number, then 4 and 55,580,502.25 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:

1 222,322,009
-1 222,322,009
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911278891,65111,55719,237134,659250,0811,750,5672,443,09917,101,69331,760,287222,322,009
-1-7-13-91-127-889-1,651-11,557-19,237-134,659-250,081-1,750,567-2,443,099-17,101,693-31,760,287-222,322,009

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 222,322,009:


Ask a Question