Q: What are the factor combinations of the number 24,708,725?

 A:
Positive:   1 x 247087255 x 494174525 x 98834929 x 852025145 x 170405173 x 142825197 x 125425725 x 34081865 x 28565985 x 250854325 x 57134925 x 5017
Negative: -1 x -24708725-5 x -4941745-25 x -988349-29 x -852025-145 x -170405-173 x -142825-197 x -125425-725 x -34081-865 x -28565-985 x -25085-4325 x -5713-4925 x -5017


How do I find the factor combinations of the number 24,708,725?

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 24,708,725, 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 24,708,725
-1 -24,708,725

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 24,708,725.

Example:
1 x 24,708,725 = 24,708,725
and
-1 x -24,708,725 = 24,708,725
Notice both answers equal 24,708,725

With that explanation out of the way, let's continue. Next, we take the number 24,708,725 and divide it by 2:

24,708,725 ÷ 2 = 12,354,362.5

If the quotient is a whole number, then 2 and 12,354,362.5 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 24,708,725
-1 -24,708,725

Now, we try dividing 24,708,725 by 3:

24,708,725 ÷ 3 = 8,236,241.6667

If the quotient is a whole number, then 3 and 8,236,241.6667 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 24,708,725
-1 -24,708,725

Let's try dividing by 4:

24,708,725 ÷ 4 = 6,177,181.25

If the quotient is a whole number, then 4 and 6,177,181.25 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 24,708,725
-1 24,708,725
Keep dividing by the next highest number until you cannot divide anymore.

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

1525291451731977258659854,3254,9255,0175,71325,08528,56534,081125,425142,825170,405852,025988,3494,941,74524,708,725
-1-5-25-29-145-173-197-725-865-985-4,325-4,925-5,017-5,713-25,085-28,565-34,081-125,425-142,825-170,405-852,025-988,349-4,941,745-24,708,725

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