Q: What are the factor combinations of the number 20,550,215?

 A:
Positive:   1 x 205502155 x 41100437 x 293574535 x 587149
Negative: -1 x -20550215-5 x -4110043-7 x -2935745-35 x -587149


How do I find the factor combinations of the number 20,550,215?

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 20,550,215, 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 20,550,215
-1 -20,550,215

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 20,550,215.

Example:
1 x 20,550,215 = 20,550,215
and
-1 x -20,550,215 = 20,550,215
Notice both answers equal 20,550,215

With that explanation out of the way, let's continue. Next, we take the number 20,550,215 and divide it by 2:

20,550,215 ÷ 2 = 10,275,107.5

If the quotient is a whole number, then 2 and 10,275,107.5 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 20,550,215
-1 -20,550,215

Now, we try dividing 20,550,215 by 3:

20,550,215 ÷ 3 = 6,850,071.6667

If the quotient is a whole number, then 3 and 6,850,071.6667 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 20,550,215
-1 -20,550,215

Let's try dividing by 4:

20,550,215 ÷ 4 = 5,137,553.75

If the quotient is a whole number, then 4 and 5,137,553.75 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 20,550,215
-1 20,550,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15735587,1492,935,7454,110,04320,550,215
-1-5-7-35-587,149-2,935,745-4,110,043-20,550,215

More Examples

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