Q: What are the factor combinations of the number 482,821,717?

 A:
Positive:   1 x 4828217177 x 68974531809 x 5968135663 x 85259
Negative: -1 x -482821717-7 x -68974531-809 x -596813-5663 x -85259


How do I find the factor combinations of the number 482,821,717?

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 482,821,717, 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.

1 482,821,717
-1 -482,821,717

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 482,821,717.

Example:
1 x 482,821,717 = 482,821,717
and
-1 x -482,821,717 = 482,821,717
Notice both answers equal 482,821,717

With that explanation out of the way, let's continue. Next, we take the number 482,821,717 and divide it by 2:

482,821,717 ÷ 2 = 241,410,858.5

If the quotient is a whole number, then 2 and 241,410,858.5 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:

1 482,821,717
-1 -482,821,717

Now, we try dividing 482,821,717 by 3:

482,821,717 ÷ 3 = 160,940,572.3333

If the quotient is a whole number, then 3 and 160,940,572.3333 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:

1 482,821,717
-1 -482,821,717

Let's try dividing by 4:

482,821,717 ÷ 4 = 120,705,429.25

If the quotient is a whole number, then 4 and 120,705,429.25 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:

1 482,821,717
-1 482,821,717
Keep dividing by the next highest number until you cannot divide anymore.

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

178095,66385,259596,81368,974,531482,821,717
-1-7-809-5,663-85,259-596,813-68,974,531-482,821,717

More Examples

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