Q: What are the factor combinations of the number 20,815,849?

 A:
Positive:   1 x 2081584919 x 109557131 x 67147959 x 352811589 x 35341599 x 347511121 x 185691829 x 11381
Negative: -1 x -20815849-19 x -1095571-31 x -671479-59 x -352811-589 x -35341-599 x -34751-1121 x -18569-1829 x -11381


How do I find the factor combinations of the number 20,815,849?

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 20,815,849, 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 20,815,849
-1 -20,815,849

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 20,815,849.

Example:
1 x 20,815,849 = 20,815,849
and
-1 x -20,815,849 = 20,815,849
Notice both answers equal 20,815,849

With that explanation out of the way, let's continue. Next, we take the number 20,815,849 and divide it by 2:

20,815,849 ÷ 2 = 10,407,924.5

If the quotient is a whole number, then 2 and 10,407,924.5 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 20,815,849
-1 -20,815,849

Now, we try dividing 20,815,849 by 3:

20,815,849 ÷ 3 = 6,938,616.3333

If the quotient is a whole number, then 3 and 6,938,616.3333 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 20,815,849
-1 -20,815,849

Let's try dividing by 4:

20,815,849 ÷ 4 = 5,203,962.25

If the quotient is a whole number, then 4 and 5,203,962.25 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 20,815,849
-1 20,815,849
Keep dividing by the next highest number until you cannot divide anymore.

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

11931595895991,1211,82911,38118,56934,75135,341352,811671,4791,095,57120,815,849
-1-19-31-59-589-599-1,121-1,829-11,381-18,569-34,751-35,341-352,811-671,479-1,095,571-20,815,849

More Examples

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