Q: What are the factor combinations of the number 24,241,055?

 A:
Positive:   1 x 242410555 x 484821119 x 127584595 x 255169109 x 222395545 x 444792071 x 117052341 x 10355
Negative: -1 x -24241055-5 x -4848211-19 x -1275845-95 x -255169-109 x -222395-545 x -44479-2071 x -11705-2341 x -10355


How do I find the factor combinations of the number 24,241,055?

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 24,241,055, 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 24,241,055
-1 -24,241,055

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 24,241,055.

Example:
1 x 24,241,055 = 24,241,055
and
-1 x -24,241,055 = 24,241,055
Notice both answers equal 24,241,055

With that explanation out of the way, let's continue. Next, we take the number 24,241,055 and divide it by 2:

24,241,055 ÷ 2 = 12,120,527.5

If the quotient is a whole number, then 2 and 12,120,527.5 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 24,241,055
-1 -24,241,055

Now, we try dividing 24,241,055 by 3:

24,241,055 ÷ 3 = 8,080,351.6667

If the quotient is a whole number, then 3 and 8,080,351.6667 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 24,241,055
-1 -24,241,055

Let's try dividing by 4:

24,241,055 ÷ 4 = 6,060,263.75

If the quotient is a whole number, then 4 and 6,060,263.75 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 24,241,055
-1 24,241,055
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951095452,0712,34110,35511,70544,479222,395255,1691,275,8454,848,21124,241,055
-1-5-19-95-109-545-2,071-2,341-10,355-11,705-44,479-222,395-255,169-1,275,845-4,848,211-24,241,055

More Examples

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