Q: What are the factor combinations of the number 480,815?

 A:
Positive:   1 x 4808155 x 9616323 x 2090537 x 12995113 x 4255115 x 4181185 x 2599565 x 851
Negative: -1 x -480815-5 x -96163-23 x -20905-37 x -12995-113 x -4255-115 x -4181-185 x -2599-565 x -851


How do I find the factor combinations of the number 480,815?

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 480,815, 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.

1 480,815
-1 -480,815

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 480,815.

Example:
1 x 480,815 = 480,815
and
-1 x -480,815 = 480,815
Notice both answers equal 480,815

With that explanation out of the way, let's continue. Next, we take the number 480,815 and divide it by 2:

480,815 ÷ 2 = 240,407.5

If the quotient is a whole number, then 2 and 240,407.5 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:

1 480,815
-1 -480,815

Now, we try dividing 480,815 by 3:

480,815 ÷ 3 = 160,271.6667

If the quotient is a whole number, then 3 and 160,271.6667 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:

1 480,815
-1 -480,815

Let's try dividing by 4:

480,815 ÷ 4 = 120,203.75

If the quotient is a whole number, then 4 and 120,203.75 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:

1 480,815
-1 480,815
Keep dividing by the next highest number until you cannot divide anymore.

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

1523371131151855658512,5994,1814,25512,99520,90596,163480,815
-1-5-23-37-113-115-185-565-851-2,599-4,181-4,255-12,995-20,905-96,163-480,815

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