Q: What are the factor combinations of the number 20,785,747?

 A:
Positive:   1 x 2078574717 x 122269171 x 292757289 x 719231013 x 205191207 x 17221
Negative: -1 x -20785747-17 x -1222691-71 x -292757-289 x -71923-1013 x -20519-1207 x -17221


How do I find the factor combinations of the number 20,785,747?

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 20,785,747, 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 20,785,747
-1 -20,785,747

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 20,785,747.

Example:
1 x 20,785,747 = 20,785,747
and
-1 x -20,785,747 = 20,785,747
Notice both answers equal 20,785,747

With that explanation out of the way, let's continue. Next, we take the number 20,785,747 and divide it by 2:

20,785,747 ÷ 2 = 10,392,873.5

If the quotient is a whole number, then 2 and 10,392,873.5 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 20,785,747
-1 -20,785,747

Now, we try dividing 20,785,747 by 3:

20,785,747 ÷ 3 = 6,928,582.3333

If the quotient is a whole number, then 3 and 6,928,582.3333 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 20,785,747
-1 -20,785,747

Let's try dividing by 4:

20,785,747 ÷ 4 = 5,196,436.75

If the quotient is a whole number, then 4 and 5,196,436.75 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 20,785,747
-1 20,785,747
Keep dividing by the next highest number until you cannot divide anymore.

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

117712891,0131,20717,22120,51971,923292,7571,222,69120,785,747
-1-17-71-289-1,013-1,207-17,221-20,519-71,923-292,757-1,222,691-20,785,747

More Examples

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