Q: What are the factor combinations of the number 24,085,385?

 A:
Positive:   1 x 240853855 x 481707747 x 512455113 x 213145235 x 102491565 x 42629907 x 265554535 x 5311
Negative: -1 x -24085385-5 x -4817077-47 x -512455-113 x -213145-235 x -102491-565 x -42629-907 x -26555-4535 x -5311


How do I find the factor combinations of the number 24,085,385?

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 24,085,385, 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 24,085,385
-1 -24,085,385

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 24,085,385.

Example:
1 x 24,085,385 = 24,085,385
and
-1 x -24,085,385 = 24,085,385
Notice both answers equal 24,085,385

With that explanation out of the way, let's continue. Next, we take the number 24,085,385 and divide it by 2:

24,085,385 ÷ 2 = 12,042,692.5

If the quotient is a whole number, then 2 and 12,042,692.5 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 24,085,385
-1 -24,085,385

Now, we try dividing 24,085,385 by 3:

24,085,385 ÷ 3 = 8,028,461.6667

If the quotient is a whole number, then 3 and 8,028,461.6667 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 24,085,385
-1 -24,085,385

Let's try dividing by 4:

24,085,385 ÷ 4 = 6,021,346.25

If the quotient is a whole number, then 4 and 6,021,346.25 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 24,085,385
-1 24,085,385
Keep dividing by the next highest number until you cannot divide anymore.

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

15471132355659074,5355,31126,55542,629102,491213,145512,4554,817,07724,085,385
-1-5-47-113-235-565-907-4,535-5,311-26,555-42,629-102,491-213,145-512,455-4,817,077-24,085,385

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,085,385:


Ask a Question