Q: What are the factor combinations of the number 20,744,539?

 A:
Positive:   1 x 2074453917 x 1220267461 x 449992647 x 7837
Negative: -1 x -20744539-17 x -1220267-461 x -44999-2647 x -7837


How do I find the factor combinations of the number 20,744,539?

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 20,744,539, 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 20,744,539
-1 -20,744,539

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 20,744,539.

Example:
1 x 20,744,539 = 20,744,539
and
-1 x -20,744,539 = 20,744,539
Notice both answers equal 20,744,539

With that explanation out of the way, let's continue. Next, we take the number 20,744,539 and divide it by 2:

20,744,539 ÷ 2 = 10,372,269.5

If the quotient is a whole number, then 2 and 10,372,269.5 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 20,744,539
-1 -20,744,539

Now, we try dividing 20,744,539 by 3:

20,744,539 ÷ 3 = 6,914,846.3333

If the quotient is a whole number, then 3 and 6,914,846.3333 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 20,744,539
-1 -20,744,539

Let's try dividing by 4:

20,744,539 ÷ 4 = 5,186,134.75

If the quotient is a whole number, then 4 and 5,186,134.75 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 20,744,539
-1 20,744,539
Keep dividing by the next highest number until you cannot divide anymore.

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

1174612,6477,83744,9991,220,26720,744,539
-1-17-461-2,647-7,837-44,999-1,220,267-20,744,539

More Examples

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