Q: What are the factor combinations of the number 22,220,401?

 A:
Positive:   1 x 222204017 x 317434341 x 541961139 x 159859287 x 77423557 x 39893973 x 228373899 x 5699
Negative: -1 x -22220401-7 x -3174343-41 x -541961-139 x -159859-287 x -77423-557 x -39893-973 x -22837-3899 x -5699


How do I find the factor combinations of the number 22,220,401?

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 22,220,401, 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 22,220,401
-1 -22,220,401

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 22,220,401.

Example:
1 x 22,220,401 = 22,220,401
and
-1 x -22,220,401 = 22,220,401
Notice both answers equal 22,220,401

With that explanation out of the way, let's continue. Next, we take the number 22,220,401 and divide it by 2:

22,220,401 ÷ 2 = 11,110,200.5

If the quotient is a whole number, then 2 and 11,110,200.5 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 22,220,401
-1 -22,220,401

Now, we try dividing 22,220,401 by 3:

22,220,401 ÷ 3 = 7,406,800.3333

If the quotient is a whole number, then 3 and 7,406,800.3333 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 22,220,401
-1 -22,220,401

Let's try dividing by 4:

22,220,401 ÷ 4 = 5,555,100.25

If the quotient is a whole number, then 4 and 5,555,100.25 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 22,220,401
-1 22,220,401
Keep dividing by the next highest number until you cannot divide anymore.

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

17411392875579733,8995,69922,83739,89377,423159,859541,9613,174,34322,220,401
-1-7-41-139-287-557-973-3,899-5,699-22,837-39,893-77,423-159,859-541,961-3,174,343-22,220,401

More Examples

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