Q: What are the factor combinations of the number 24,238,613?

 A:
Positive:   1 x 242386137 x 3462659113 x 214501791 x 30643
Negative: -1 x -24238613-7 x -3462659-113 x -214501-791 x -30643


How do I find the factor combinations of the number 24,238,613?

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 24,238,613, 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 24,238,613
-1 -24,238,613

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 24,238,613.

Example:
1 x 24,238,613 = 24,238,613
and
-1 x -24,238,613 = 24,238,613
Notice both answers equal 24,238,613

With that explanation out of the way, let's continue. Next, we take the number 24,238,613 and divide it by 2:

24,238,613 ÷ 2 = 12,119,306.5

If the quotient is a whole number, then 2 and 12,119,306.5 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 24,238,613
-1 -24,238,613

Now, we try dividing 24,238,613 by 3:

24,238,613 ÷ 3 = 8,079,537.6667

If the quotient is a whole number, then 3 and 8,079,537.6667 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 24,238,613
-1 -24,238,613

Let's try dividing by 4:

24,238,613 ÷ 4 = 6,059,653.25

If the quotient is a whole number, then 4 and 6,059,653.25 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 24,238,613
-1 24,238,613
Keep dividing by the next highest number until you cannot divide anymore.

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

1711379130,643214,5013,462,65924,238,613
-1-7-113-791-30,643-214,501-3,462,659-24,238,613

More Examples

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