Q: What are the factor combinations of the number 24,330,485?

 A:
Positive:   1 x 243304855 x 486609717 x 143120585 x 286241197 x 123505985 x 247011453 x 167453349 x 7265
Negative: -1 x -24330485-5 x -4866097-17 x -1431205-85 x -286241-197 x -123505-985 x -24701-1453 x -16745-3349 x -7265


How do I find the factor combinations of the number 24,330,485?

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 24,330,485, 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 24,330,485
-1 -24,330,485

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 24,330,485.

Example:
1 x 24,330,485 = 24,330,485
and
-1 x -24,330,485 = 24,330,485
Notice both answers equal 24,330,485

With that explanation out of the way, let's continue. Next, we take the number 24,330,485 and divide it by 2:

24,330,485 ÷ 2 = 12,165,242.5

If the quotient is a whole number, then 2 and 12,165,242.5 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 24,330,485
-1 -24,330,485

Now, we try dividing 24,330,485 by 3:

24,330,485 ÷ 3 = 8,110,161.6667

If the quotient is a whole number, then 3 and 8,110,161.6667 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 24,330,485
-1 -24,330,485

Let's try dividing by 4:

24,330,485 ÷ 4 = 6,082,621.25

If the quotient is a whole number, then 4 and 6,082,621.25 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 24,330,485
-1 24,330,485
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851979851,4533,3497,26516,74524,701123,505286,2411,431,2054,866,09724,330,485
-1-5-17-85-197-985-1,453-3,349-7,265-16,745-24,701-123,505-286,241-1,431,205-4,866,097-24,330,485

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,330,485:


Ask a Question