Q: What are the factor combinations of the number 24,201,815?

 A:
Positive:   1 x 242018155 x 484036311 x 220016555 x 440033109 x 222035121 x 200015367 x 65945545 x 44407605 x 400031199 x 201851835 x 131894037 x 5995
Negative: -1 x -24201815-5 x -4840363-11 x -2200165-55 x -440033-109 x -222035-121 x -200015-367 x -65945-545 x -44407-605 x -40003-1199 x -20185-1835 x -13189-4037 x -5995


How do I find the factor combinations of the number 24,201,815?

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 24,201,815, 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 24,201,815
-1 -24,201,815

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 24,201,815.

Example:
1 x 24,201,815 = 24,201,815
and
-1 x -24,201,815 = 24,201,815
Notice both answers equal 24,201,815

With that explanation out of the way, let's continue. Next, we take the number 24,201,815 and divide it by 2:

24,201,815 ÷ 2 = 12,100,907.5

If the quotient is a whole number, then 2 and 12,100,907.5 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 24,201,815
-1 -24,201,815

Now, we try dividing 24,201,815 by 3:

24,201,815 ÷ 3 = 8,067,271.6667

If the quotient is a whole number, then 3 and 8,067,271.6667 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 24,201,815
-1 -24,201,815

Let's try dividing by 4:

24,201,815 ÷ 4 = 6,050,453.75

If the quotient is a whole number, then 4 and 6,050,453.75 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 24,201,815
-1 24,201,815
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551091213675456051,1991,8354,0375,99513,18920,18540,00344,40765,945200,015222,035440,0332,200,1654,840,36324,201,815
-1-5-11-55-109-121-367-545-605-1,199-1,835-4,037-5,995-13,189-20,185-40,003-44,407-65,945-200,015-222,035-440,033-2,200,165-4,840,363-24,201,815

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,201,815:


Ask a Question