Q: What are the factor combinations of the number 240,313,463?

 A:
Positive:   1 x 24031346313 x 1848565119 x 12648077157 x 1530659247 x 9729292041 x 1177432983 x 805616197 x 38779
Negative: -1 x -240313463-13 x -18485651-19 x -12648077-157 x -1530659-247 x -972929-2041 x -117743-2983 x -80561-6197 x -38779


How do I find the factor combinations of the number 240,313,463?

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 240,313,463, 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.

1 240,313,463
-1 -240,313,463

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 240,313,463.

Example:
1 x 240,313,463 = 240,313,463
and
-1 x -240,313,463 = 240,313,463
Notice both answers equal 240,313,463

With that explanation out of the way, let's continue. Next, we take the number 240,313,463 and divide it by 2:

240,313,463 ÷ 2 = 120,156,731.5

If the quotient is a whole number, then 2 and 120,156,731.5 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:

1 240,313,463
-1 -240,313,463

Now, we try dividing 240,313,463 by 3:

240,313,463 ÷ 3 = 80,104,487.6667

If the quotient is a whole number, then 3 and 80,104,487.6667 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:

1 240,313,463
-1 -240,313,463

Let's try dividing by 4:

240,313,463 ÷ 4 = 60,078,365.75

If the quotient is a whole number, then 4 and 60,078,365.75 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:

1 240,313,463
-1 240,313,463
Keep dividing by the next highest number until you cannot divide anymore.

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

113191572472,0412,9836,19738,77980,561117,743972,9291,530,65912,648,07718,485,651240,313,463
-1-13-19-157-247-2,041-2,983-6,197-38,779-80,561-117,743-972,929-1,530,659-12,648,077-18,485,651-240,313,463

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