Q: What are the factor combinations of the number 240,234,241?

 A:
Positive:   1 x 24023424113 x 1847955723 x 10444967181 x 1327261193 x 1244737299 x 803459529 x 4541292353 x 1020972509 x 957494163 x 577074439 x 541196877 x 34933
Negative: -1 x -240234241-13 x -18479557-23 x -10444967-181 x -1327261-193 x -1244737-299 x -803459-529 x -454129-2353 x -102097-2509 x -95749-4163 x -57707-4439 x -54119-6877 x -34933


How do I find the factor combinations of the number 240,234,241?

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 240,234,241, 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.

1 240,234,241
-1 -240,234,241

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 240,234,241.

Example:
1 x 240,234,241 = 240,234,241
and
-1 x -240,234,241 = 240,234,241
Notice both answers equal 240,234,241

With that explanation out of the way, let's continue. Next, we take the number 240,234,241 and divide it by 2:

240,234,241 ÷ 2 = 120,117,120.5

If the quotient is a whole number, then 2 and 120,117,120.5 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:

1 240,234,241
-1 -240,234,241

Now, we try dividing 240,234,241 by 3:

240,234,241 ÷ 3 = 80,078,080.3333

If the quotient is a whole number, then 3 and 80,078,080.3333 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:

1 240,234,241
-1 -240,234,241

Let's try dividing by 4:

240,234,241 ÷ 4 = 60,058,560.25

If the quotient is a whole number, then 4 and 60,058,560.25 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:

1 240,234,241
-1 240,234,241
Keep dividing by the next highest number until you cannot divide anymore.

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

113231811932995292,3532,5094,1634,4396,87734,93354,11957,70795,749102,097454,129803,4591,244,7371,327,26110,444,96718,479,557240,234,241
-1-13-23-181-193-299-529-2,353-2,509-4,163-4,439-6,877-34,933-54,119-57,707-95,749-102,097-454,129-803,459-1,244,737-1,327,261-10,444,967-18,479,557-240,234,241

More Examples

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