Q: What are the factor combinations of the number 481,260,715?

 A:
Positive:   1 x 4812607155 x 9625214313 x 3702005565 x 74040111697 x 2835954363 x 1103058485 x 5671921815 x 22061
Negative: -1 x -481260715-5 x -96252143-13 x -37020055-65 x -7404011-1697 x -283595-4363 x -110305-8485 x -56719-21815 x -22061


How do I find the factor combinations of the number 481,260,715?

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 481,260,715, 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.

1 481,260,715
-1 -481,260,715

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 481,260,715.

Example:
1 x 481,260,715 = 481,260,715
and
-1 x -481,260,715 = 481,260,715
Notice both answers equal 481,260,715

With that explanation out of the way, let's continue. Next, we take the number 481,260,715 and divide it by 2:

481,260,715 ÷ 2 = 240,630,357.5

If the quotient is a whole number, then 2 and 240,630,357.5 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:

1 481,260,715
-1 -481,260,715

Now, we try dividing 481,260,715 by 3:

481,260,715 ÷ 3 = 160,420,238.3333

If the quotient is a whole number, then 3 and 160,420,238.3333 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:

1 481,260,715
-1 -481,260,715

Let's try dividing by 4:

481,260,715 ÷ 4 = 120,315,178.75

If the quotient is a whole number, then 4 and 120,315,178.75 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:

1 481,260,715
-1 481,260,715
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651,6974,3638,48521,81522,06156,719110,305283,5957,404,01137,020,05596,252,143481,260,715
-1-5-13-65-1,697-4,363-8,485-21,815-22,061-56,719-110,305-283,595-7,404,011-37,020,055-96,252,143-481,260,715

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