Q: What are the factor combinations of the number 22,240,709?

 A:
Positive:   1 x 2224070917 x 130827729 x 766921197 x 112897229 x 97121493 x 451133349 x 66413893 x 5713
Negative: -1 x -22240709-17 x -1308277-29 x -766921-197 x -112897-229 x -97121-493 x -45113-3349 x -6641-3893 x -5713


How do I find the factor combinations of the number 22,240,709?

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 22,240,709, 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 22,240,709
-1 -22,240,709

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 22,240,709.

Example:
1 x 22,240,709 = 22,240,709
and
-1 x -22,240,709 = 22,240,709
Notice both answers equal 22,240,709

With that explanation out of the way, let's continue. Next, we take the number 22,240,709 and divide it by 2:

22,240,709 ÷ 2 = 11,120,354.5

If the quotient is a whole number, then 2 and 11,120,354.5 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 22,240,709
-1 -22,240,709

Now, we try dividing 22,240,709 by 3:

22,240,709 ÷ 3 = 7,413,569.6667

If the quotient is a whole number, then 3 and 7,413,569.6667 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 22,240,709
-1 -22,240,709

Let's try dividing by 4:

22,240,709 ÷ 4 = 5,560,177.25

If the quotient is a whole number, then 4 and 5,560,177.25 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 22,240,709
-1 22,240,709
Keep dividing by the next highest number until you cannot divide anymore.

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

117291972294933,3493,8935,7136,64145,11397,121112,897766,9211,308,27722,240,709
-1-17-29-197-229-493-3,349-3,893-5,713-6,641-45,113-97,121-112,897-766,921-1,308,277-22,240,709

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 22,240,709:


Ask a Question