Q: What are the factor combinations of the number 24,004,415?

 A:
Positive:   1 x 240044155 x 480088361 x 393515211 x 113765305 x 78703373 x 643551055 x 227531865 x 12871
Negative: -1 x -24004415-5 x -4800883-61 x -393515-211 x -113765-305 x -78703-373 x -64355-1055 x -22753-1865 x -12871


How do I find the factor combinations of the number 24,004,415?

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 24,004,415, 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 24,004,415
-1 -24,004,415

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 24,004,415.

Example:
1 x 24,004,415 = 24,004,415
and
-1 x -24,004,415 = 24,004,415
Notice both answers equal 24,004,415

With that explanation out of the way, let's continue. Next, we take the number 24,004,415 and divide it by 2:

24,004,415 ÷ 2 = 12,002,207.5

If the quotient is a whole number, then 2 and 12,002,207.5 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 24,004,415
-1 -24,004,415

Now, we try dividing 24,004,415 by 3:

24,004,415 ÷ 3 = 8,001,471.6667

If the quotient is a whole number, then 3 and 8,001,471.6667 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 24,004,415
-1 -24,004,415

Let's try dividing by 4:

24,004,415 ÷ 4 = 6,001,103.75

If the quotient is a whole number, then 4 and 6,001,103.75 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 24,004,415
-1 24,004,415
Keep dividing by the next highest number until you cannot divide anymore.

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

15612113053731,0551,86512,87122,75364,35578,703113,765393,5154,800,88324,004,415
-1-5-61-211-305-373-1,055-1,865-12,871-22,753-64,355-78,703-113,765-393,515-4,800,883-24,004,415

More Examples

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