Q: What are the factor combinations of the number 24,067,645?

 A:
Positive:   1 x 240676455 x 48135297 x 343823535 x 687647
Negative: -1 x -24067645-5 x -4813529-7 x -3438235-35 x -687647


How do I find the factor combinations of the number 24,067,645?

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 24,067,645, 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 24,067,645
-1 -24,067,645

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 24,067,645.

Example:
1 x 24,067,645 = 24,067,645
and
-1 x -24,067,645 = 24,067,645
Notice both answers equal 24,067,645

With that explanation out of the way, let's continue. Next, we take the number 24,067,645 and divide it by 2:

24,067,645 ÷ 2 = 12,033,822.5

If the quotient is a whole number, then 2 and 12,033,822.5 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 24,067,645
-1 -24,067,645

Now, we try dividing 24,067,645 by 3:

24,067,645 ÷ 3 = 8,022,548.3333

If the quotient is a whole number, then 3 and 8,022,548.3333 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 24,067,645
-1 -24,067,645

Let's try dividing by 4:

24,067,645 ÷ 4 = 6,016,911.25

If the quotient is a whole number, then 4 and 6,016,911.25 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 24,067,645
-1 24,067,645
Keep dividing by the next highest number until you cannot divide anymore.

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

15735687,6473,438,2354,813,52924,067,645
-1-5-7-35-687,647-3,438,235-4,813,529-24,067,645

More Examples

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