Q: What are the factor combinations of the number 24,002,087?

 A:
Positive:   1 x 2400208723 x 1043569941 x 255071109 x 21643
Negative: -1 x -24002087-23 x -1043569-941 x -25507-1109 x -21643


How do I find the factor combinations of the number 24,002,087?

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 24,002,087, 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 24,002,087
-1 -24,002,087

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 24,002,087.

Example:
1 x 24,002,087 = 24,002,087
and
-1 x -24,002,087 = 24,002,087
Notice both answers equal 24,002,087

With that explanation out of the way, let's continue. Next, we take the number 24,002,087 and divide it by 2:

24,002,087 ÷ 2 = 12,001,043.5

If the quotient is a whole number, then 2 and 12,001,043.5 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 24,002,087
-1 -24,002,087

Now, we try dividing 24,002,087 by 3:

24,002,087 ÷ 3 = 8,000,695.6667

If the quotient is a whole number, then 3 and 8,000,695.6667 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 24,002,087
-1 -24,002,087

Let's try dividing by 4:

24,002,087 ÷ 4 = 6,000,521.75

If the quotient is a whole number, then 4 and 6,000,521.75 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 24,002,087
-1 24,002,087
Keep dividing by the next highest number until you cannot divide anymore.

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

1239411,10921,64325,5071,043,56924,002,087
-1-23-941-1,109-21,643-25,507-1,043,569-24,002,087

More Examples

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