Q: What are the factor combinations of the number 24,004,019?

 A:
Positive:   1 x 2400401913 x 184646323 x 104365343 x 558233299 x 80281559 x 42941989 x 242711867 x 12857
Negative: -1 x -24004019-13 x -1846463-23 x -1043653-43 x -558233-299 x -80281-559 x -42941-989 x -24271-1867 x -12857


How do I find the factor combinations of the number 24,004,019?

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 24,004,019, 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 24,004,019
-1 -24,004,019

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 24,004,019.

Example:
1 x 24,004,019 = 24,004,019
and
-1 x -24,004,019 = 24,004,019
Notice both answers equal 24,004,019

With that explanation out of the way, let's continue. Next, we take the number 24,004,019 and divide it by 2:

24,004,019 ÷ 2 = 12,002,009.5

If the quotient is a whole number, then 2 and 12,002,009.5 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 24,004,019
-1 -24,004,019

Now, we try dividing 24,004,019 by 3:

24,004,019 ÷ 3 = 8,001,339.6667

If the quotient is a whole number, then 3 and 8,001,339.6667 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 24,004,019
-1 -24,004,019

Let's try dividing by 4:

24,004,019 ÷ 4 = 6,001,004.75

If the quotient is a whole number, then 4 and 6,001,004.75 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 24,004,019
-1 24,004,019
Keep dividing by the next highest number until you cannot divide anymore.

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

11323432995599891,86712,85724,27142,94180,281558,2331,043,6531,846,46324,004,019
-1-13-23-43-299-559-989-1,867-12,857-24,271-42,941-80,281-558,233-1,043,653-1,846,463-24,004,019

More Examples

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