Q: What are the factor combinations of the number 24,023,533?

 A:
Positive:   1 x 2402353317 x 141314947 x 511139107 x 224519281 x 85493799 x 300671819 x 132074777 x 5029
Negative: -1 x -24023533-17 x -1413149-47 x -511139-107 x -224519-281 x -85493-799 x -30067-1819 x -13207-4777 x -5029


How do I find the factor combinations of the number 24,023,533?

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 24,023,533, 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 24,023,533
-1 -24,023,533

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 24,023,533.

Example:
1 x 24,023,533 = 24,023,533
and
-1 x -24,023,533 = 24,023,533
Notice both answers equal 24,023,533

With that explanation out of the way, let's continue. Next, we take the number 24,023,533 and divide it by 2:

24,023,533 ÷ 2 = 12,011,766.5

If the quotient is a whole number, then 2 and 12,011,766.5 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 24,023,533
-1 -24,023,533

Now, we try dividing 24,023,533 by 3:

24,023,533 ÷ 3 = 8,007,844.3333

If the quotient is a whole number, then 3 and 8,007,844.3333 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 24,023,533
-1 -24,023,533

Let's try dividing by 4:

24,023,533 ÷ 4 = 6,005,883.25

If the quotient is a whole number, then 4 and 6,005,883.25 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 24,023,533
-1 24,023,533
Keep dividing by the next highest number until you cannot divide anymore.

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

117471072817991,8194,7775,02913,20730,06785,493224,519511,1391,413,14924,023,533
-1-17-47-107-281-799-1,819-4,777-5,029-13,207-30,067-85,493-224,519-511,139-1,413,149-24,023,533

More Examples

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