Q: What are the factor combinations of the number 468,340,481?

 A:
Positive:   1 x 4683404817 x 6690578319 x 2464949949 x 9557969133 x 3521357571 x 820211881 x 531601931 x 5030513997 x 1171736167 x 7594310849 x 4316916739 x 27979
Negative: -1 x -468340481-7 x -66905783-19 x -24649499-49 x -9557969-133 x -3521357-571 x -820211-881 x -531601-931 x -503051-3997 x -117173-6167 x -75943-10849 x -43169-16739 x -27979


How do I find the factor combinations of the number 468,340,481?

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 468,340,481, 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.

1 468,340,481
-1 -468,340,481

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 468,340,481.

Example:
1 x 468,340,481 = 468,340,481
and
-1 x -468,340,481 = 468,340,481
Notice both answers equal 468,340,481

With that explanation out of the way, let's continue. Next, we take the number 468,340,481 and divide it by 2:

468,340,481 ÷ 2 = 234,170,240.5

If the quotient is a whole number, then 2 and 234,170,240.5 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:

1 468,340,481
-1 -468,340,481

Now, we try dividing 468,340,481 by 3:

468,340,481 ÷ 3 = 156,113,493.6667

If the quotient is a whole number, then 3 and 156,113,493.6667 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:

1 468,340,481
-1 -468,340,481

Let's try dividing by 4:

468,340,481 ÷ 4 = 117,085,120.25

If the quotient is a whole number, then 4 and 117,085,120.25 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:

1 468,340,481
-1 468,340,481
Keep dividing by the next highest number until you cannot divide anymore.

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

1719491335718819313,9976,16710,84916,73927,97943,16975,943117,173503,051531,601820,2113,521,3579,557,96924,649,49966,905,783468,340,481
-1-7-19-49-133-571-881-931-3,997-6,167-10,849-16,739-27,979-43,169-75,943-117,173-503,051-531,601-820,211-3,521,357-9,557,969-24,649,499-66,905,783-468,340,481

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