Q: What are the factor combinations of the number 24,811,313?

 A:
Positive:   1 x 2481131317 x 145948973 x 3398811241 x 19993
Negative: -1 x -24811313-17 x -1459489-73 x -339881-1241 x -19993


How do I find the factor combinations of the number 24,811,313?

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 24,811,313, 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 24,811,313
-1 -24,811,313

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 24,811,313.

Example:
1 x 24,811,313 = 24,811,313
and
-1 x -24,811,313 = 24,811,313
Notice both answers equal 24,811,313

With that explanation out of the way, let's continue. Next, we take the number 24,811,313 and divide it by 2:

24,811,313 ÷ 2 = 12,405,656.5

If the quotient is a whole number, then 2 and 12,405,656.5 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 24,811,313
-1 -24,811,313

Now, we try dividing 24,811,313 by 3:

24,811,313 ÷ 3 = 8,270,437.6667

If the quotient is a whole number, then 3 and 8,270,437.6667 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 24,811,313
-1 -24,811,313

Let's try dividing by 4:

24,811,313 ÷ 4 = 6,202,828.25

If the quotient is a whole number, then 4 and 6,202,828.25 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 24,811,313
-1 24,811,313
Keep dividing by the next highest number until you cannot divide anymore.

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

117731,24119,993339,8811,459,48924,811,313
-1-17-73-1,241-19,993-339,881-1,459,489-24,811,313

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,811,313:


Ask a Question