Q: What are the factor combinations of the number 20,604,505?

 A:
Positive:   1 x 206045055 x 4120901101 x 204005505 x 40801
Negative: -1 x -20604505-5 x -4120901-101 x -204005-505 x -40801


How do I find the factor combinations of the number 20,604,505?

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 20,604,505, 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 20,604,505
-1 -20,604,505

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 20,604,505.

Example:
1 x 20,604,505 = 20,604,505
and
-1 x -20,604,505 = 20,604,505
Notice both answers equal 20,604,505

With that explanation out of the way, let's continue. Next, we take the number 20,604,505 and divide it by 2:

20,604,505 ÷ 2 = 10,302,252.5

If the quotient is a whole number, then 2 and 10,302,252.5 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 20,604,505
-1 -20,604,505

Now, we try dividing 20,604,505 by 3:

20,604,505 ÷ 3 = 6,868,168.3333

If the quotient is a whole number, then 3 and 6,868,168.3333 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 20,604,505
-1 -20,604,505

Let's try dividing by 4:

20,604,505 ÷ 4 = 5,151,126.25

If the quotient is a whole number, then 4 and 5,151,126.25 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 20,604,505
-1 20,604,505
Keep dividing by the next highest number until you cannot divide anymore.

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

1510150540,801204,0054,120,90120,604,505
-1-5-101-505-40,801-204,005-4,120,901-20,604,505

More Examples

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