Q: What are the factor combinations of the number 20,450,975?

 A:
Positive:   1 x 204509755 x 409019525 x 818039563 x 363251453 x 140752815 x 7265
Negative: -1 x -20450975-5 x -4090195-25 x -818039-563 x -36325-1453 x -14075-2815 x -7265


How do I find the factor combinations of the number 20,450,975?

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 20,450,975, 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 20,450,975
-1 -20,450,975

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 20,450,975.

Example:
1 x 20,450,975 = 20,450,975
and
-1 x -20,450,975 = 20,450,975
Notice both answers equal 20,450,975

With that explanation out of the way, let's continue. Next, we take the number 20,450,975 and divide it by 2:

20,450,975 ÷ 2 = 10,225,487.5

If the quotient is a whole number, then 2 and 10,225,487.5 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 20,450,975
-1 -20,450,975

Now, we try dividing 20,450,975 by 3:

20,450,975 ÷ 3 = 6,816,991.6667

If the quotient is a whole number, then 3 and 6,816,991.6667 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 20,450,975
-1 -20,450,975

Let's try dividing by 4:

20,450,975 ÷ 4 = 5,112,743.75

If the quotient is a whole number, then 4 and 5,112,743.75 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 20,450,975
-1 20,450,975
Keep dividing by the next highest number until you cannot divide anymore.

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

15255631,4532,8157,26514,07536,325818,0394,090,19520,450,975
-1-5-25-563-1,453-2,815-7,265-14,075-36,325-818,039-4,090,195-20,450,975

More Examples

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