Q: What are the factor combinations of the number 20,041,055?

 A:
Positive:   1 x 200410555 x 400821173 x 274535365 x 54907
Negative: -1 x -20041055-5 x -4008211-73 x -274535-365 x -54907


How do I find the factor combinations of the number 20,041,055?

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 20,041,055, 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 20,041,055
-1 -20,041,055

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 20,041,055.

Example:
1 x 20,041,055 = 20,041,055
and
-1 x -20,041,055 = 20,041,055
Notice both answers equal 20,041,055

With that explanation out of the way, let's continue. Next, we take the number 20,041,055 and divide it by 2:

20,041,055 ÷ 2 = 10,020,527.5

If the quotient is a whole number, then 2 and 10,020,527.5 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 20,041,055
-1 -20,041,055

Now, we try dividing 20,041,055 by 3:

20,041,055 ÷ 3 = 6,680,351.6667

If the quotient is a whole number, then 3 and 6,680,351.6667 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 20,041,055
-1 -20,041,055

Let's try dividing by 4:

20,041,055 ÷ 4 = 5,010,263.75

If the quotient is a whole number, then 4 and 5,010,263.75 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 20,041,055
-1 20,041,055
Keep dividing by the next highest number until you cannot divide anymore.

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

157336554,907274,5354,008,21120,041,055
-1-5-73-365-54,907-274,535-4,008,211-20,041,055

More Examples

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