Q: What are the factor combinations of the number 24,024,343?

 A:
Positive:   1 x 240243437 x 3432049139 x 172837973 x 24691
Negative: -1 x -24024343-7 x -3432049-139 x -172837-973 x -24691


How do I find the factor combinations of the number 24,024,343?

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 24,024,343, 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 24,024,343
-1 -24,024,343

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 24,024,343.

Example:
1 x 24,024,343 = 24,024,343
and
-1 x -24,024,343 = 24,024,343
Notice both answers equal 24,024,343

With that explanation out of the way, let's continue. Next, we take the number 24,024,343 and divide it by 2:

24,024,343 ÷ 2 = 12,012,171.5

If the quotient is a whole number, then 2 and 12,012,171.5 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 24,024,343
-1 -24,024,343

Now, we try dividing 24,024,343 by 3:

24,024,343 ÷ 3 = 8,008,114.3333

If the quotient is a whole number, then 3 and 8,008,114.3333 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 24,024,343
-1 -24,024,343

Let's try dividing by 4:

24,024,343 ÷ 4 = 6,006,085.75

If the quotient is a whole number, then 4 and 6,006,085.75 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 24,024,343
-1 24,024,343
Keep dividing by the next highest number until you cannot divide anymore.

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

1713997324,691172,8373,432,04924,024,343
-1-7-139-973-24,691-172,837-3,432,049-24,024,343

More Examples

Here are some more numbers to try:

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