Q: What are the factor combinations of the number 20,310,355?

 A:
Positive:   1 x 203103555 x 406207113 x 156233565 x 312467193 x 105235965 x 210471619 x 125452509 x 8095
Negative: -1 x -20310355-5 x -4062071-13 x -1562335-65 x -312467-193 x -105235-965 x -21047-1619 x -12545-2509 x -8095


How do I find the factor combinations of the number 20,310,355?

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 20,310,355, 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 20,310,355
-1 -20,310,355

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 20,310,355.

Example:
1 x 20,310,355 = 20,310,355
and
-1 x -20,310,355 = 20,310,355
Notice both answers equal 20,310,355

With that explanation out of the way, let's continue. Next, we take the number 20,310,355 and divide it by 2:

20,310,355 ÷ 2 = 10,155,177.5

If the quotient is a whole number, then 2 and 10,155,177.5 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 20,310,355
-1 -20,310,355

Now, we try dividing 20,310,355 by 3:

20,310,355 ÷ 3 = 6,770,118.3333

If the quotient is a whole number, then 3 and 6,770,118.3333 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 20,310,355
-1 -20,310,355

Let's try dividing by 4:

20,310,355 ÷ 4 = 5,077,588.75

If the quotient is a whole number, then 4 and 5,077,588.75 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 20,310,355
-1 20,310,355
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651939651,6192,5098,09512,54521,047105,235312,4671,562,3354,062,07120,310,355
-1-5-13-65-193-965-1,619-2,509-8,095-12,545-21,047-105,235-312,467-1,562,335-4,062,071-20,310,355

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