Q: What are the factor combinations of the number 22,204,001?

 A:
Positive:   1 x 2220400141 x 54156159 x 37633967 x 331403137 x 1620732419 x 91792747 x 80833953 x 5617
Negative: -1 x -22204001-41 x -541561-59 x -376339-67 x -331403-137 x -162073-2419 x -9179-2747 x -8083-3953 x -5617


How do I find the factor combinations of the number 22,204,001?

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 22,204,001, 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 22,204,001
-1 -22,204,001

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 22,204,001.

Example:
1 x 22,204,001 = 22,204,001
and
-1 x -22,204,001 = 22,204,001
Notice both answers equal 22,204,001

With that explanation out of the way, let's continue. Next, we take the number 22,204,001 and divide it by 2:

22,204,001 ÷ 2 = 11,102,000.5

If the quotient is a whole number, then 2 and 11,102,000.5 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 22,204,001
-1 -22,204,001

Now, we try dividing 22,204,001 by 3:

22,204,001 ÷ 3 = 7,401,333.6667

If the quotient is a whole number, then 3 and 7,401,333.6667 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 22,204,001
-1 -22,204,001

Let's try dividing by 4:

22,204,001 ÷ 4 = 5,551,000.25

If the quotient is a whole number, then 4 and 5,551,000.25 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 22,204,001
-1 22,204,001
Keep dividing by the next highest number until you cannot divide anymore.

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

14159671372,4192,7473,9535,6178,0839,179162,073331,403376,339541,56122,204,001
-1-41-59-67-137-2,419-2,747-3,953-5,617-8,083-9,179-162,073-331,403-376,339-541,561-22,204,001

More Examples

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