Q: What are the factor combinations of the number 24,442,685?

 A:
Positive:   1 x 244426855 x 488853717 x 143780585 x 287561269 x 908651069 x 228651345 x 181734573 x 5345
Negative: -1 x -24442685-5 x -4888537-17 x -1437805-85 x -287561-269 x -90865-1069 x -22865-1345 x -18173-4573 x -5345


How do I find the factor combinations of the number 24,442,685?

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 24,442,685, 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 24,442,685
-1 -24,442,685

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 24,442,685.

Example:
1 x 24,442,685 = 24,442,685
and
-1 x -24,442,685 = 24,442,685
Notice both answers equal 24,442,685

With that explanation out of the way, let's continue. Next, we take the number 24,442,685 and divide it by 2:

24,442,685 ÷ 2 = 12,221,342.5

If the quotient is a whole number, then 2 and 12,221,342.5 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 24,442,685
-1 -24,442,685

Now, we try dividing 24,442,685 by 3:

24,442,685 ÷ 3 = 8,147,561.6667

If the quotient is a whole number, then 3 and 8,147,561.6667 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 24,442,685
-1 -24,442,685

Let's try dividing by 4:

24,442,685 ÷ 4 = 6,110,671.25

If the quotient is a whole number, then 4 and 6,110,671.25 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 24,442,685
-1 24,442,685
Keep dividing by the next highest number until you cannot divide anymore.

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

1517852691,0691,3454,5735,34518,17322,86590,865287,5611,437,8054,888,53724,442,685
-1-5-17-85-269-1,069-1,345-4,573-5,345-18,173-22,865-90,865-287,561-1,437,805-4,888,537-24,442,685

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,442,685:


Ask a Question