Q: What are the factor combinations of the number 240,114,433?

 A:
Positive:   1 x 24011443313 x 1847034153 x 4530461563 x 426491619 x 387907689 x 3484977319 x 328078047 x 29839
Negative: -1 x -240114433-13 x -18470341-53 x -4530461-563 x -426491-619 x -387907-689 x -348497-7319 x -32807-8047 x -29839


How do I find the factor combinations of the number 240,114,433?

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 240,114,433, 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.

1 240,114,433
-1 -240,114,433

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 240,114,433.

Example:
1 x 240,114,433 = 240,114,433
and
-1 x -240,114,433 = 240,114,433
Notice both answers equal 240,114,433

With that explanation out of the way, let's continue. Next, we take the number 240,114,433 and divide it by 2:

240,114,433 ÷ 2 = 120,057,216.5

If the quotient is a whole number, then 2 and 120,057,216.5 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:

1 240,114,433
-1 -240,114,433

Now, we try dividing 240,114,433 by 3:

240,114,433 ÷ 3 = 80,038,144.3333

If the quotient is a whole number, then 3 and 80,038,144.3333 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:

1 240,114,433
-1 -240,114,433

Let's try dividing by 4:

240,114,433 ÷ 4 = 60,028,608.25

If the quotient is a whole number, then 4 and 60,028,608.25 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:

1 240,114,433
-1 240,114,433
Keep dividing by the next highest number until you cannot divide anymore.

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

113535636196897,3198,04729,83932,807348,497387,907426,4914,530,46118,470,341240,114,433
-1-13-53-563-619-689-7,319-8,047-29,839-32,807-348,497-387,907-426,491-4,530,461-18,470,341-240,114,433

More Examples

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