Q: What are the factor combinations of the number 20,444,221?

 A:
Positive:   1 x 204442217 x 292060331 x 65949143 x 47544749 x 417229217 x 94213301 x 67921313 x 653171333 x 153371519 x 134592107 x 97032191 x 9331
Negative: -1 x -20444221-7 x -2920603-31 x -659491-43 x -475447-49 x -417229-217 x -94213-301 x -67921-313 x -65317-1333 x -15337-1519 x -13459-2107 x -9703-2191 x -9331


How do I find the factor combinations of the number 20,444,221?

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 20,444,221, 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 20,444,221
-1 -20,444,221

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 20,444,221.

Example:
1 x 20,444,221 = 20,444,221
and
-1 x -20,444,221 = 20,444,221
Notice both answers equal 20,444,221

With that explanation out of the way, let's continue. Next, we take the number 20,444,221 and divide it by 2:

20,444,221 ÷ 2 = 10,222,110.5

If the quotient is a whole number, then 2 and 10,222,110.5 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 20,444,221
-1 -20,444,221

Now, we try dividing 20,444,221 by 3:

20,444,221 ÷ 3 = 6,814,740.3333

If the quotient is a whole number, then 3 and 6,814,740.3333 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 20,444,221
-1 -20,444,221

Let's try dividing by 4:

20,444,221 ÷ 4 = 5,111,055.25

If the quotient is a whole number, then 4 and 5,111,055.25 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 20,444,221
-1 20,444,221
Keep dividing by the next highest number until you cannot divide anymore.

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

173143492173013131,3331,5192,1072,1919,3319,70313,45915,33765,31767,92194,213417,229475,447659,4912,920,60320,444,221
-1-7-31-43-49-217-301-313-1,333-1,519-2,107-2,191-9,331-9,703-13,459-15,337-65,317-67,921-94,213-417,229-475,447-659,491-2,920,603-20,444,221

More Examples

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