Q: What are the factor combinations of the number 24,447,665?

 A:
Positive:   1 x 244476655 x 488953311 x 222251555 x 444503337 x 725451319 x 185351685 x 145093707 x 6595
Negative: -1 x -24447665-5 x -4889533-11 x -2222515-55 x -444503-337 x -72545-1319 x -18535-1685 x -14509-3707 x -6595


How do I find the factor combinations of the number 24,447,665?

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 24,447,665, 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 24,447,665
-1 -24,447,665

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 24,447,665.

Example:
1 x 24,447,665 = 24,447,665
and
-1 x -24,447,665 = 24,447,665
Notice both answers equal 24,447,665

With that explanation out of the way, let's continue. Next, we take the number 24,447,665 and divide it by 2:

24,447,665 ÷ 2 = 12,223,832.5

If the quotient is a whole number, then 2 and 12,223,832.5 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 24,447,665
-1 -24,447,665

Now, we try dividing 24,447,665 by 3:

24,447,665 ÷ 3 = 8,149,221.6667

If the quotient is a whole number, then 3 and 8,149,221.6667 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 24,447,665
-1 -24,447,665

Let's try dividing by 4:

24,447,665 ÷ 4 = 6,111,916.25

If the quotient is a whole number, then 4 and 6,111,916.25 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 24,447,665
-1 24,447,665
Keep dividing by the next highest number until you cannot divide anymore.

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

1511553371,3191,6853,7076,59514,50918,53572,545444,5032,222,5154,889,53324,447,665
-1-5-11-55-337-1,319-1,685-3,707-6,595-14,509-18,535-72,545-444,503-2,222,515-4,889,533-24,447,665

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,447,665:


Ask a Question