Q: What are the factor combinations of the number 24,244,015?

 A:
Positive:   1 x 242440155 x 484880331 x 78206571 x 341465155 x 156413355 x 682932201 x 110152203 x 11005
Negative: -1 x -24244015-5 x -4848803-31 x -782065-71 x -341465-155 x -156413-355 x -68293-2201 x -11015-2203 x -11005


How do I find the factor combinations of the number 24,244,015?

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 24,244,015, 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 24,244,015
-1 -24,244,015

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 24,244,015.

Example:
1 x 24,244,015 = 24,244,015
and
-1 x -24,244,015 = 24,244,015
Notice both answers equal 24,244,015

With that explanation out of the way, let's continue. Next, we take the number 24,244,015 and divide it by 2:

24,244,015 ÷ 2 = 12,122,007.5

If the quotient is a whole number, then 2 and 12,122,007.5 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 24,244,015
-1 -24,244,015

Now, we try dividing 24,244,015 by 3:

24,244,015 ÷ 3 = 8,081,338.3333

If the quotient is a whole number, then 3 and 8,081,338.3333 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 24,244,015
-1 -24,244,015

Let's try dividing by 4:

24,244,015 ÷ 4 = 6,061,003.75

If the quotient is a whole number, then 4 and 6,061,003.75 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 24,244,015
-1 24,244,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1531711553552,2012,20311,00511,01568,293156,413341,465782,0654,848,80324,244,015
-1-5-31-71-155-355-2,201-2,203-11,005-11,015-68,293-156,413-341,465-782,065-4,848,803-24,244,015

More Examples

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