Q: What are the factor combinations of the number 20,822,501?

 A:
Positive:   1 x 208225017 x 297464317 x 122485349 x 424949119 x 174979343 x 60707833 x 249973571 x 5831
Negative: -1 x -20822501-7 x -2974643-17 x -1224853-49 x -424949-119 x -174979-343 x -60707-833 x -24997-3571 x -5831


How do I find the factor combinations of the number 20,822,501?

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 20,822,501, 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 20,822,501
-1 -20,822,501

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 20,822,501.

Example:
1 x 20,822,501 = 20,822,501
and
-1 x -20,822,501 = 20,822,501
Notice both answers equal 20,822,501

With that explanation out of the way, let's continue. Next, we take the number 20,822,501 and divide it by 2:

20,822,501 ÷ 2 = 10,411,250.5

If the quotient is a whole number, then 2 and 10,411,250.5 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 20,822,501
-1 -20,822,501

Now, we try dividing 20,822,501 by 3:

20,822,501 ÷ 3 = 6,940,833.6667

If the quotient is a whole number, then 3 and 6,940,833.6667 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 20,822,501
-1 -20,822,501

Let's try dividing by 4:

20,822,501 ÷ 4 = 5,205,625.25

If the quotient is a whole number, then 4 and 5,205,625.25 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 20,822,501
-1 20,822,501
Keep dividing by the next highest number until you cannot divide anymore.

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

1717491193438333,5715,83124,99760,707174,979424,9491,224,8532,974,64320,822,501
-1-7-17-49-119-343-833-3,571-5,831-24,997-60,707-174,979-424,949-1,224,853-2,974,643-20,822,501

More Examples

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