Q: What are the factor combinations of the number 20,741,555?

 A:
Positive:   1 x 207415555 x 4148311449 x 461952245 x 9239
Negative: -1 x -20741555-5 x -4148311-449 x -46195-2245 x -9239


How do I find the factor combinations of the number 20,741,555?

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 20,741,555, 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 20,741,555
-1 -20,741,555

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 20,741,555.

Example:
1 x 20,741,555 = 20,741,555
and
-1 x -20,741,555 = 20,741,555
Notice both answers equal 20,741,555

With that explanation out of the way, let's continue. Next, we take the number 20,741,555 and divide it by 2:

20,741,555 ÷ 2 = 10,370,777.5

If the quotient is a whole number, then 2 and 10,370,777.5 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 20,741,555
-1 -20,741,555

Now, we try dividing 20,741,555 by 3:

20,741,555 ÷ 3 = 6,913,851.6667

If the quotient is a whole number, then 3 and 6,913,851.6667 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 20,741,555
-1 -20,741,555

Let's try dividing by 4:

20,741,555 ÷ 4 = 5,185,388.75

If the quotient is a whole number, then 4 and 5,185,388.75 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 20,741,555
-1 20,741,555
Keep dividing by the next highest number until you cannot divide anymore.

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

154492,2459,23946,1954,148,31120,741,555
-1-5-449-2,245-9,239-46,195-4,148,311-20,741,555

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 20,741,555:


Ask a Question