Q: What are the factor combinations of the number 22,201,223?

 A:
Positive:   1 x 2220122311 x 201829353 x 418891113 x 196471337 x 65879583 x 380811243 x 178613707 x 5989
Negative: -1 x -22201223-11 x -2018293-53 x -418891-113 x -196471-337 x -65879-583 x -38081-1243 x -17861-3707 x -5989


How do I find the factor combinations of the number 22,201,223?

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 22,201,223, 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 22,201,223
-1 -22,201,223

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 22,201,223.

Example:
1 x 22,201,223 = 22,201,223
and
-1 x -22,201,223 = 22,201,223
Notice both answers equal 22,201,223

With that explanation out of the way, let's continue. Next, we take the number 22,201,223 and divide it by 2:

22,201,223 ÷ 2 = 11,100,611.5

If the quotient is a whole number, then 2 and 11,100,611.5 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 22,201,223
-1 -22,201,223

Now, we try dividing 22,201,223 by 3:

22,201,223 ÷ 3 = 7,400,407.6667

If the quotient is a whole number, then 3 and 7,400,407.6667 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 22,201,223
-1 -22,201,223

Let's try dividing by 4:

22,201,223 ÷ 4 = 5,550,305.75

If the quotient is a whole number, then 4 and 5,550,305.75 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 22,201,223
-1 22,201,223
Keep dividing by the next highest number until you cannot divide anymore.

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

111531133375831,2433,7075,98917,86138,08165,879196,471418,8912,018,29322,201,223
-1-11-53-113-337-583-1,243-3,707-5,989-17,861-38,081-65,879-196,471-418,891-2,018,293-22,201,223

More Examples

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