Q: What are the factor combinations of the number 24,238,015?

 A:
Positive:   1 x 242380155 x 484760319 x 127568595 x 255137
Negative: -1 x -24238015-5 x -4847603-19 x -1275685-95 x -255137


How do I find the factor combinations of the number 24,238,015?

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 24,238,015, 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 24,238,015
-1 -24,238,015

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 24,238,015.

Example:
1 x 24,238,015 = 24,238,015
and
-1 x -24,238,015 = 24,238,015
Notice both answers equal 24,238,015

With that explanation out of the way, let's continue. Next, we take the number 24,238,015 and divide it by 2:

24,238,015 ÷ 2 = 12,119,007.5

If the quotient is a whole number, then 2 and 12,119,007.5 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 24,238,015
-1 -24,238,015

Now, we try dividing 24,238,015 by 3:

24,238,015 ÷ 3 = 8,079,338.3333

If the quotient is a whole number, then 3 and 8,079,338.3333 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 24,238,015
-1 -24,238,015

Let's try dividing by 4:

24,238,015 ÷ 4 = 6,059,503.75

If the quotient is a whole number, then 4 and 6,059,503.75 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 24,238,015
-1 24,238,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151995255,1371,275,6854,847,60324,238,015
-1-5-19-95-255,137-1,275,685-4,847,603-24,238,015

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,238,015:


Ask a Question