Q: What are the factor combinations of the number 20,627,665?

 A:
Positive:   1 x 206276655 x 412553323 x 896855115 x 179371181 x 113965905 x 22793991 x 208154163 x 4955
Negative: -1 x -20627665-5 x -4125533-23 x -896855-115 x -179371-181 x -113965-905 x -22793-991 x -20815-4163 x -4955


How do I find the factor combinations of the number 20,627,665?

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 20,627,665, 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 20,627,665
-1 -20,627,665

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 20,627,665.

Example:
1 x 20,627,665 = 20,627,665
and
-1 x -20,627,665 = 20,627,665
Notice both answers equal 20,627,665

With that explanation out of the way, let's continue. Next, we take the number 20,627,665 and divide it by 2:

20,627,665 ÷ 2 = 10,313,832.5

If the quotient is a whole number, then 2 and 10,313,832.5 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 20,627,665
-1 -20,627,665

Now, we try dividing 20,627,665 by 3:

20,627,665 ÷ 3 = 6,875,888.3333

If the quotient is a whole number, then 3 and 6,875,888.3333 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 20,627,665
-1 -20,627,665

Let's try dividing by 4:

20,627,665 ÷ 4 = 5,156,916.25

If the quotient is a whole number, then 4 and 5,156,916.25 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 20,627,665
-1 20,627,665
Keep dividing by the next highest number until you cannot divide anymore.

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

15231151819059914,1634,95520,81522,793113,965179,371896,8554,125,53320,627,665
-1-5-23-115-181-905-991-4,163-4,955-20,815-22,793-113,965-179,371-896,855-4,125,533-20,627,665

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