Q: What are the factor combinations of the number 44,008,825?

 A:
Positive:   1 x 440088255 x 88017657 x 628697525 x 176035335 x 1257395175 x 251479193 x 228025965 x 456051303 x 337751351 x 325754825 x 91216515 x 6755
Negative: -1 x -44008825-5 x -8801765-7 x -6286975-25 x -1760353-35 x -1257395-175 x -251479-193 x -228025-965 x -45605-1303 x -33775-1351 x -32575-4825 x -9121-6515 x -6755


How do I find the factor combinations of the number 44,008,825?

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 44,008,825, 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 44,008,825
-1 -44,008,825

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 44,008,825.

Example:
1 x 44,008,825 = 44,008,825
and
-1 x -44,008,825 = 44,008,825
Notice both answers equal 44,008,825

With that explanation out of the way, let's continue. Next, we take the number 44,008,825 and divide it by 2:

44,008,825 ÷ 2 = 22,004,412.5

If the quotient is a whole number, then 2 and 22,004,412.5 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 44,008,825
-1 -44,008,825

Now, we try dividing 44,008,825 by 3:

44,008,825 ÷ 3 = 14,669,608.3333

If the quotient is a whole number, then 3 and 14,669,608.3333 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 44,008,825
-1 -44,008,825

Let's try dividing by 4:

44,008,825 ÷ 4 = 11,002,206.25

If the quotient is a whole number, then 4 and 11,002,206.25 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 44,008,825
-1 44,008,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351751939651,3031,3514,8256,5156,7559,12132,57533,77545,605228,025251,4791,257,3951,760,3536,286,9758,801,76544,008,825
-1-5-7-25-35-175-193-965-1,303-1,351-4,825-6,515-6,755-9,121-32,575-33,775-45,605-228,025-251,479-1,257,395-1,760,353-6,286,975-8,801,765-44,008,825

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