Q: What are the factor combinations of the number 24,054,065?

 A:
Positive:   1 x 240540655 x 48108137 x 343629517 x 141494535 x 68725985 x 282989119 x 202135595 x 40427
Negative: -1 x -24054065-5 x -4810813-7 x -3436295-17 x -1414945-35 x -687259-85 x -282989-119 x -202135-595 x -40427


How do I find the factor combinations of the number 24,054,065?

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 24,054,065, 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 24,054,065
-1 -24,054,065

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 24,054,065.

Example:
1 x 24,054,065 = 24,054,065
and
-1 x -24,054,065 = 24,054,065
Notice both answers equal 24,054,065

With that explanation out of the way, let's continue. Next, we take the number 24,054,065 and divide it by 2:

24,054,065 ÷ 2 = 12,027,032.5

If the quotient is a whole number, then 2 and 12,027,032.5 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 24,054,065
-1 -24,054,065

Now, we try dividing 24,054,065 by 3:

24,054,065 ÷ 3 = 8,018,021.6667

If the quotient is a whole number, then 3 and 8,018,021.6667 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 24,054,065
-1 -24,054,065

Let's try dividing by 4:

24,054,065 ÷ 4 = 6,013,516.25

If the quotient is a whole number, then 4 and 6,013,516.25 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 24,054,065
-1 24,054,065
Keep dividing by the next highest number until you cannot divide anymore.

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

15717358511959540,427202,135282,989687,2591,414,9453,436,2954,810,81324,054,065
-1-5-7-17-35-85-119-595-40,427-202,135-282,989-687,259-1,414,945-3,436,295-4,810,813-24,054,065

More Examples

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