Q: What are the factor combinations of the number 24,016,891?

 A:
Positive:   1 x 24016891101 x 237791
Negative: -1 x -24016891-101 x -237791


How do I find the factor combinations of the number 24,016,891?

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 24,016,891, 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 24,016,891
-1 -24,016,891

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 24,016,891.

Example:
1 x 24,016,891 = 24,016,891
and
-1 x -24,016,891 = 24,016,891
Notice both answers equal 24,016,891

With that explanation out of the way, let's continue. Next, we take the number 24,016,891 and divide it by 2:

24,016,891 ÷ 2 = 12,008,445.5

If the quotient is a whole number, then 2 and 12,008,445.5 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 24,016,891
-1 -24,016,891

Now, we try dividing 24,016,891 by 3:

24,016,891 ÷ 3 = 8,005,630.3333

If the quotient is a whole number, then 3 and 8,005,630.3333 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 24,016,891
-1 -24,016,891

Let's try dividing by 4:

24,016,891 ÷ 4 = 6,004,222.75

If the quotient is a whole number, then 4 and 6,004,222.75 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 24,016,891
-1 24,016,891
Keep dividing by the next highest number until you cannot divide anymore.

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

1101237,79124,016,891
-1-101-237,791-24,016,891

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,016,891:


Ask a Question