Q: What are the factor combinations of the number 20,199,565?

 A:
Positive:   1 x 201995655 x 403991319 x 106313595 x 212627
Negative: -1 x -20199565-5 x -4039913-19 x -1063135-95 x -212627


How do I find the factor combinations of the number 20,199,565?

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 20,199,565, 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 20,199,565
-1 -20,199,565

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 20,199,565.

Example:
1 x 20,199,565 = 20,199,565
and
-1 x -20,199,565 = 20,199,565
Notice both answers equal 20,199,565

With that explanation out of the way, let's continue. Next, we take the number 20,199,565 and divide it by 2:

20,199,565 ÷ 2 = 10,099,782.5

If the quotient is a whole number, then 2 and 10,099,782.5 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 20,199,565
-1 -20,199,565

Now, we try dividing 20,199,565 by 3:

20,199,565 ÷ 3 = 6,733,188.3333

If the quotient is a whole number, then 3 and 6,733,188.3333 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 20,199,565
-1 -20,199,565

Let's try dividing by 4:

20,199,565 ÷ 4 = 5,049,891.25

If the quotient is a whole number, then 4 and 5,049,891.25 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 20,199,565
-1 20,199,565
Keep dividing by the next highest number until you cannot divide anymore.

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

151995212,6271,063,1354,039,91320,199,565
-1-5-19-95-212,627-1,063,135-4,039,913-20,199,565

More Examples

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