Q: What are the factor combinations of the number 20,326,523?

 A:
Positive:   1 x 203265237 x 290378919 x 106981749 x 414827133 x 152831343 x 59261931 x 218333119 x 6517
Negative: -1 x -20326523-7 x -2903789-19 x -1069817-49 x -414827-133 x -152831-343 x -59261-931 x -21833-3119 x -6517


How do I find the factor combinations of the number 20,326,523?

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 20,326,523, 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 20,326,523
-1 -20,326,523

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 20,326,523.

Example:
1 x 20,326,523 = 20,326,523
and
-1 x -20,326,523 = 20,326,523
Notice both answers equal 20,326,523

With that explanation out of the way, let's continue. Next, we take the number 20,326,523 and divide it by 2:

20,326,523 ÷ 2 = 10,163,261.5

If the quotient is a whole number, then 2 and 10,163,261.5 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 20,326,523
-1 -20,326,523

Now, we try dividing 20,326,523 by 3:

20,326,523 ÷ 3 = 6,775,507.6667

If the quotient is a whole number, then 3 and 6,775,507.6667 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 20,326,523
-1 -20,326,523

Let's try dividing by 4:

20,326,523 ÷ 4 = 5,081,630.75

If the quotient is a whole number, then 4 and 5,081,630.75 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 20,326,523
-1 20,326,523
Keep dividing by the next highest number until you cannot divide anymore.

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

1719491333439313,1196,51721,83359,261152,831414,8271,069,8172,903,78920,326,523
-1-7-19-49-133-343-931-3,119-6,517-21,833-59,261-152,831-414,827-1,069,817-2,903,789-20,326,523

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