Q: What are the factor combinations of the number 20,113,325?

 A:
Positive:   1 x 201133255 x 402266525 x 80453373 x 275525103 x 195275107 x 187975365 x 55105515 x 39055535 x 375951825 x 110212575 x 78112675 x 7519
Negative: -1 x -20113325-5 x -4022665-25 x -804533-73 x -275525-103 x -195275-107 x -187975-365 x -55105-515 x -39055-535 x -37595-1825 x -11021-2575 x -7811-2675 x -7519


How do I find the factor combinations of the number 20,113,325?

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 20,113,325, 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 20,113,325
-1 -20,113,325

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 20,113,325.

Example:
1 x 20,113,325 = 20,113,325
and
-1 x -20,113,325 = 20,113,325
Notice both answers equal 20,113,325

With that explanation out of the way, let's continue. Next, we take the number 20,113,325 and divide it by 2:

20,113,325 ÷ 2 = 10,056,662.5

If the quotient is a whole number, then 2 and 10,056,662.5 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 20,113,325
-1 -20,113,325

Now, we try dividing 20,113,325 by 3:

20,113,325 ÷ 3 = 6,704,441.6667

If the quotient is a whole number, then 3 and 6,704,441.6667 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 20,113,325
-1 -20,113,325

Let's try dividing by 4:

20,113,325 ÷ 4 = 5,028,331.25

If the quotient is a whole number, then 4 and 5,028,331.25 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 20,113,325
-1 20,113,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1525731031073655155351,8252,5752,6757,5197,81111,02137,59539,05555,105187,975195,275275,525804,5334,022,66520,113,325
-1-5-25-73-103-107-365-515-535-1,825-2,575-2,675-7,519-7,811-11,021-37,595-39,055-55,105-187,975-195,275-275,525-804,533-4,022,665-20,113,325

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