Q: What are the factor combinations of the number 20,304,851?

 A:
Positive:   1 x 203048517 x 290069317 x 1194403119 x 170629289 x 702592023 x 10037
Negative: -1 x -20304851-7 x -2900693-17 x -1194403-119 x -170629-289 x -70259-2023 x -10037


How do I find the factor combinations of the number 20,304,851?

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 20,304,851, 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 20,304,851
-1 -20,304,851

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 20,304,851.

Example:
1 x 20,304,851 = 20,304,851
and
-1 x -20,304,851 = 20,304,851
Notice both answers equal 20,304,851

With that explanation out of the way, let's continue. Next, we take the number 20,304,851 and divide it by 2:

20,304,851 ÷ 2 = 10,152,425.5

If the quotient is a whole number, then 2 and 10,152,425.5 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 20,304,851
-1 -20,304,851

Now, we try dividing 20,304,851 by 3:

20,304,851 ÷ 3 = 6,768,283.6667

If the quotient is a whole number, then 3 and 6,768,283.6667 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 20,304,851
-1 -20,304,851

Let's try dividing by 4:

20,304,851 ÷ 4 = 5,076,212.75

If the quotient is a whole number, then 4 and 5,076,212.75 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 20,304,851
-1 20,304,851
Keep dividing by the next highest number until you cannot divide anymore.

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

17171192892,02310,03770,259170,6291,194,4032,900,69320,304,851
-1-7-17-119-289-2,023-10,037-70,259-170,629-1,194,403-2,900,693-20,304,851

More Examples

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