Q: What are the factor combinations of the number 22,433,243?

 A:
Positive:   1 x 224332437 x 320474919 x 118069731 x 723653133 x 168671217 x 103379589 x 380874123 x 5441
Negative: -1 x -22433243-7 x -3204749-19 x -1180697-31 x -723653-133 x -168671-217 x -103379-589 x -38087-4123 x -5441


How do I find the factor combinations of the number 22,433,243?

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 22,433,243, 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 22,433,243
-1 -22,433,243

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 22,433,243.

Example:
1 x 22,433,243 = 22,433,243
and
-1 x -22,433,243 = 22,433,243
Notice both answers equal 22,433,243

With that explanation out of the way, let's continue. Next, we take the number 22,433,243 and divide it by 2:

22,433,243 ÷ 2 = 11,216,621.5

If the quotient is a whole number, then 2 and 11,216,621.5 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 22,433,243
-1 -22,433,243

Now, we try dividing 22,433,243 by 3:

22,433,243 ÷ 3 = 7,477,747.6667

If the quotient is a whole number, then 3 and 7,477,747.6667 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 22,433,243
-1 -22,433,243

Let's try dividing by 4:

22,433,243 ÷ 4 = 5,608,310.75

If the quotient is a whole number, then 4 and 5,608,310.75 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 22,433,243
-1 22,433,243
Keep dividing by the next highest number until you cannot divide anymore.

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

1719311332175894,1235,44138,087103,379168,671723,6531,180,6973,204,74922,433,243
-1-7-19-31-133-217-589-4,123-5,441-38,087-103,379-168,671-723,653-1,180,697-3,204,749-22,433,243

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 22,433,243:


Ask a Question