Q: What are the factor combinations of the number 24,214,027?

 A:
Positive:   1 x 2421402773 x 331699409 x 59203811 x 29857
Negative: -1 x -24214027-73 x -331699-409 x -59203-811 x -29857


How do I find the factor combinations of the number 24,214,027?

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 24,214,027, 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 24,214,027
-1 -24,214,027

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 24,214,027.

Example:
1 x 24,214,027 = 24,214,027
and
-1 x -24,214,027 = 24,214,027
Notice both answers equal 24,214,027

With that explanation out of the way, let's continue. Next, we take the number 24,214,027 and divide it by 2:

24,214,027 ÷ 2 = 12,107,013.5

If the quotient is a whole number, then 2 and 12,107,013.5 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 24,214,027
-1 -24,214,027

Now, we try dividing 24,214,027 by 3:

24,214,027 ÷ 3 = 8,071,342.3333

If the quotient is a whole number, then 3 and 8,071,342.3333 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 24,214,027
-1 -24,214,027

Let's try dividing by 4:

24,214,027 ÷ 4 = 6,053,506.75

If the quotient is a whole number, then 4 and 6,053,506.75 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 24,214,027
-1 24,214,027
Keep dividing by the next highest number until you cannot divide anymore.

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

17340981129,85759,203331,69924,214,027
-1-73-409-811-29,857-59,203-331,699-24,214,027

More Examples

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