Q: What are the factor combinations of the number 24,994,055?

 A:
Positive:   1 x 249940555 x 499881137 x 675515167 x 149665185 x 135103809 x 30895835 x 299334045 x 6179
Negative: -1 x -24994055-5 x -4998811-37 x -675515-167 x -149665-185 x -135103-809 x -30895-835 x -29933-4045 x -6179


How do I find the factor combinations of the number 24,994,055?

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 24,994,055, 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 24,994,055
-1 -24,994,055

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 24,994,055.

Example:
1 x 24,994,055 = 24,994,055
and
-1 x -24,994,055 = 24,994,055
Notice both answers equal 24,994,055

With that explanation out of the way, let's continue. Next, we take the number 24,994,055 and divide it by 2:

24,994,055 ÷ 2 = 12,497,027.5

If the quotient is a whole number, then 2 and 12,497,027.5 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 24,994,055
-1 -24,994,055

Now, we try dividing 24,994,055 by 3:

24,994,055 ÷ 3 = 8,331,351.6667

If the quotient is a whole number, then 3 and 8,331,351.6667 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 24,994,055
-1 -24,994,055

Let's try dividing by 4:

24,994,055 ÷ 4 = 6,248,513.75

If the quotient is a whole number, then 4 and 6,248,513.75 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 24,994,055
-1 24,994,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15371671858098354,0456,17929,93330,895135,103149,665675,5154,998,81124,994,055
-1-5-37-167-185-809-835-4,045-6,179-29,933-30,895-135,103-149,665-675,515-4,998,811-24,994,055

More Examples

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