Q: What are the factor combinations of the number 20,738,809?

 A:
Positive:   1 x 207388097 x 296268713 x 159529349 x 42324191 x 227899343 x 60463637 x 325574459 x 4651
Negative: -1 x -20738809-7 x -2962687-13 x -1595293-49 x -423241-91 x -227899-343 x -60463-637 x -32557-4459 x -4651


How do I find the factor combinations of the number 20,738,809?

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 20,738,809, 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 20,738,809
-1 -20,738,809

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 20,738,809.

Example:
1 x 20,738,809 = 20,738,809
and
-1 x -20,738,809 = 20,738,809
Notice both answers equal 20,738,809

With that explanation out of the way, let's continue. Next, we take the number 20,738,809 and divide it by 2:

20,738,809 ÷ 2 = 10,369,404.5

If the quotient is a whole number, then 2 and 10,369,404.5 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 20,738,809
-1 -20,738,809

Now, we try dividing 20,738,809 by 3:

20,738,809 ÷ 3 = 6,912,936.3333

If the quotient is a whole number, then 3 and 6,912,936.3333 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 20,738,809
-1 -20,738,809

Let's try dividing by 4:

20,738,809 ÷ 4 = 5,184,702.25

If the quotient is a whole number, then 4 and 5,184,702.25 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 20,738,809
-1 20,738,809
Keep dividing by the next highest number until you cannot divide anymore.

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

171349913436374,4594,65132,55760,463227,899423,2411,595,2932,962,68720,738,809
-1-7-13-49-91-343-637-4,459-4,651-32,557-60,463-227,899-423,241-1,595,293-2,962,687-20,738,809

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