Q: What are the factor combinations of the number 20,355,455?

 A:
Positive:   1 x 203554555 x 4071091461 x 441552305 x 8831
Negative: -1 x -20355455-5 x -4071091-461 x -44155-2305 x -8831


How do I find the factor combinations of the number 20,355,455?

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 20,355,455, 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 20,355,455
-1 -20,355,455

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 20,355,455.

Example:
1 x 20,355,455 = 20,355,455
and
-1 x -20,355,455 = 20,355,455
Notice both answers equal 20,355,455

With that explanation out of the way, let's continue. Next, we take the number 20,355,455 and divide it by 2:

20,355,455 ÷ 2 = 10,177,727.5

If the quotient is a whole number, then 2 and 10,177,727.5 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 20,355,455
-1 -20,355,455

Now, we try dividing 20,355,455 by 3:

20,355,455 ÷ 3 = 6,785,151.6667

If the quotient is a whole number, then 3 and 6,785,151.6667 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 20,355,455
-1 -20,355,455

Let's try dividing by 4:

20,355,455 ÷ 4 = 5,088,863.75

If the quotient is a whole number, then 4 and 5,088,863.75 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 20,355,455
-1 20,355,455
Keep dividing by the next highest number until you cannot divide anymore.

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

154612,3058,83144,1554,071,09120,355,455
-1-5-461-2,305-8,831-44,155-4,071,091-20,355,455

More Examples

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