Q: What are the factor combinations of the number 481,370,617?

 A:
Positive:   1 x 4813706177 x 6876723113 x 3702850991 x 5289787239 x 20141031673 x 2877293107 x 15493121749 x 22133
Negative: -1 x -481370617-7 x -68767231-13 x -37028509-91 x -5289787-239 x -2014103-1673 x -287729-3107 x -154931-21749 x -22133


How do I find the factor combinations of the number 481,370,617?

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 481,370,617, 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.

1 481,370,617
-1 -481,370,617

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 481,370,617.

Example:
1 x 481,370,617 = 481,370,617
and
-1 x -481,370,617 = 481,370,617
Notice both answers equal 481,370,617

With that explanation out of the way, let's continue. Next, we take the number 481,370,617 and divide it by 2:

481,370,617 ÷ 2 = 240,685,308.5

If the quotient is a whole number, then 2 and 240,685,308.5 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:

1 481,370,617
-1 -481,370,617

Now, we try dividing 481,370,617 by 3:

481,370,617 ÷ 3 = 160,456,872.3333

If the quotient is a whole number, then 3 and 160,456,872.3333 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:

1 481,370,617
-1 -481,370,617

Let's try dividing by 4:

481,370,617 ÷ 4 = 120,342,654.25

If the quotient is a whole number, then 4 and 120,342,654.25 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:

1 481,370,617
-1 481,370,617
Keep dividing by the next highest number until you cannot divide anymore.

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

1713912391,6733,10721,74922,133154,931287,7292,014,1035,289,78737,028,50968,767,231481,370,617
-1-7-13-91-239-1,673-3,107-21,749-22,133-154,931-287,729-2,014,103-5,289,787-37,028,509-68,767,231-481,370,617

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