Q: What are the factor combinations of the number 20,806,735?

 A:
Positive:   1 x 208067355 x 416134731 x 671185155 x 134237241 x 86335557 x 373551205 x 172672785 x 7471
Negative: -1 x -20806735-5 x -4161347-31 x -671185-155 x -134237-241 x -86335-557 x -37355-1205 x -17267-2785 x -7471


How do I find the factor combinations of the number 20,806,735?

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 20,806,735, 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 20,806,735
-1 -20,806,735

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 20,806,735.

Example:
1 x 20,806,735 = 20,806,735
and
-1 x -20,806,735 = 20,806,735
Notice both answers equal 20,806,735

With that explanation out of the way, let's continue. Next, we take the number 20,806,735 and divide it by 2:

20,806,735 ÷ 2 = 10,403,367.5

If the quotient is a whole number, then 2 and 10,403,367.5 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 20,806,735
-1 -20,806,735

Now, we try dividing 20,806,735 by 3:

20,806,735 ÷ 3 = 6,935,578.3333

If the quotient is a whole number, then 3 and 6,935,578.3333 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 20,806,735
-1 -20,806,735

Let's try dividing by 4:

20,806,735 ÷ 4 = 5,201,683.75

If the quotient is a whole number, then 4 and 5,201,683.75 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 20,806,735
-1 20,806,735
Keep dividing by the next highest number until you cannot divide anymore.

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

15311552415571,2052,7857,47117,26737,35586,335134,237671,1854,161,34720,806,735
-1-5-31-155-241-557-1,205-2,785-7,471-17,267-37,355-86,335-134,237-671,185-4,161,347-20,806,735

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