Q: What are the factor combinations of the number 24,533,333?

 A:
Positive:   1 x 2453333311 x 223030329 x 845977319 x 76907
Negative: -1 x -24533333-11 x -2230303-29 x -845977-319 x -76907


How do I find the factor combinations of the number 24,533,333?

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 24,533,333, 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 24,533,333
-1 -24,533,333

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 24,533,333.

Example:
1 x 24,533,333 = 24,533,333
and
-1 x -24,533,333 = 24,533,333
Notice both answers equal 24,533,333

With that explanation out of the way, let's continue. Next, we take the number 24,533,333 and divide it by 2:

24,533,333 ÷ 2 = 12,266,666.5

If the quotient is a whole number, then 2 and 12,266,666.5 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 24,533,333
-1 -24,533,333

Now, we try dividing 24,533,333 by 3:

24,533,333 ÷ 3 = 8,177,777.6667

If the quotient is a whole number, then 3 and 8,177,777.6667 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 24,533,333
-1 -24,533,333

Let's try dividing by 4:

24,533,333 ÷ 4 = 6,133,333.25

If the quotient is a whole number, then 4 and 6,133,333.25 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 24,533,333
-1 24,533,333
Keep dividing by the next highest number until you cannot divide anymore.

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

1112931976,907845,9772,230,30324,533,333
-1-11-29-319-76,907-845,977-2,230,303-24,533,333

More Examples

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