Q: What are the factor combinations of the number 481,027,855?

 A:
Positive:   1 x 4810278555 x 962055717 x 6871826511 x 4372980535 x 1374365349 x 981689555 x 874596177 x 6247115245 x 1963379385 x 1249423539 x 8924452695 x 178489
Negative: -1 x -481027855-5 x -96205571-7 x -68718265-11 x -43729805-35 x -13743653-49 x -9816895-55 x -8745961-77 x -6247115-245 x -1963379-385 x -1249423-539 x -892445-2695 x -178489


How do I find the factor combinations of the number 481,027,855?

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 481,027,855, 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.

1 481,027,855
-1 -481,027,855

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 481,027,855.

Example:
1 x 481,027,855 = 481,027,855
and
-1 x -481,027,855 = 481,027,855
Notice both answers equal 481,027,855

With that explanation out of the way, let's continue. Next, we take the number 481,027,855 and divide it by 2:

481,027,855 ÷ 2 = 240,513,927.5

If the quotient is a whole number, then 2 and 240,513,927.5 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:

1 481,027,855
-1 -481,027,855

Now, we try dividing 481,027,855 by 3:

481,027,855 ÷ 3 = 160,342,618.3333

If the quotient is a whole number, then 3 and 160,342,618.3333 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:

1 481,027,855
-1 -481,027,855

Let's try dividing by 4:

481,027,855 ÷ 4 = 120,256,963.75

If the quotient is a whole number, then 4 and 120,256,963.75 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:

1 481,027,855
-1 481,027,855
Keep dividing by the next highest number until you cannot divide anymore.

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

15711354955772453855392,695178,489892,4451,249,4231,963,3796,247,1158,745,9619,816,89513,743,65343,729,80568,718,26596,205,571481,027,855
-1-5-7-11-35-49-55-77-245-385-539-2,695-178,489-892,445-1,249,423-1,963,379-6,247,115-8,745,961-9,816,895-13,743,653-43,729,805-68,718,265-96,205,571-481,027,855

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