Q: What are the factor combinations of the number 20,335,535?

 A:
Positive:   1 x 203355355 x 406710711 x 184868531 x 65598555 x 369737155 x 131197341 x 596351705 x 11927
Negative: -1 x -20335535-5 x -4067107-11 x -1848685-31 x -655985-55 x -369737-155 x -131197-341 x -59635-1705 x -11927


How do I find the factor combinations of the number 20,335,535?

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 20,335,535, 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 20,335,535
-1 -20,335,535

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 20,335,535.

Example:
1 x 20,335,535 = 20,335,535
and
-1 x -20,335,535 = 20,335,535
Notice both answers equal 20,335,535

With that explanation out of the way, let's continue. Next, we take the number 20,335,535 and divide it by 2:

20,335,535 ÷ 2 = 10,167,767.5

If the quotient is a whole number, then 2 and 10,167,767.5 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 20,335,535
-1 -20,335,535

Now, we try dividing 20,335,535 by 3:

20,335,535 ÷ 3 = 6,778,511.6667

If the quotient is a whole number, then 3 and 6,778,511.6667 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 20,335,535
-1 -20,335,535

Let's try dividing by 4:

20,335,535 ÷ 4 = 5,083,883.75

If the quotient is a whole number, then 4 and 5,083,883.75 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 20,335,535
-1 20,335,535
Keep dividing by the next highest number until you cannot divide anymore.

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

151131551553411,70511,92759,635131,197369,737655,9851,848,6854,067,10720,335,535
-1-5-11-31-55-155-341-1,705-11,927-59,635-131,197-369,737-655,985-1,848,685-4,067,107-20,335,535

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