Q: What are the factor combinations of the number 24,330,113?

 A:
Positive:   1 x 2433011323 x 1057831
Negative: -1 x -24330113-23 x -1057831


How do I find the factor combinations of the number 24,330,113?

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 24,330,113, 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 24,330,113
-1 -24,330,113

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 24,330,113.

Example:
1 x 24,330,113 = 24,330,113
and
-1 x -24,330,113 = 24,330,113
Notice both answers equal 24,330,113

With that explanation out of the way, let's continue. Next, we take the number 24,330,113 and divide it by 2:

24,330,113 ÷ 2 = 12,165,056.5

If the quotient is a whole number, then 2 and 12,165,056.5 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 24,330,113
-1 -24,330,113

Now, we try dividing 24,330,113 by 3:

24,330,113 ÷ 3 = 8,110,037.6667

If the quotient is a whole number, then 3 and 8,110,037.6667 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 24,330,113
-1 -24,330,113

Let's try dividing by 4:

24,330,113 ÷ 4 = 6,082,528.25

If the quotient is a whole number, then 4 and 6,082,528.25 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 24,330,113
-1 24,330,113
Keep dividing by the next highest number until you cannot divide anymore.

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

1231,057,83124,330,113
-1-23-1,057,831-24,330,113

More Examples

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