Q: What are the factor combinations of the number 444,213,305?

 A:
Positive:   1 x 4442133055 x 8884266137 x 12005765163 x 2725235185 x 2401153815 x 5450476031 x 7365514731 x 30155
Negative: -1 x -444213305-5 x -88842661-37 x -12005765-163 x -2725235-185 x -2401153-815 x -545047-6031 x -73655-14731 x -30155


How do I find the factor combinations of the number 444,213,305?

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 444,213,305, 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.

1 444,213,305
-1 -444,213,305

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 444,213,305.

Example:
1 x 444,213,305 = 444,213,305
and
-1 x -444,213,305 = 444,213,305
Notice both answers equal 444,213,305

With that explanation out of the way, let's continue. Next, we take the number 444,213,305 and divide it by 2:

444,213,305 ÷ 2 = 222,106,652.5

If the quotient is a whole number, then 2 and 222,106,652.5 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:

1 444,213,305
-1 -444,213,305

Now, we try dividing 444,213,305 by 3:

444,213,305 ÷ 3 = 148,071,101.6667

If the quotient is a whole number, then 3 and 148,071,101.6667 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:

1 444,213,305
-1 -444,213,305

Let's try dividing by 4:

444,213,305 ÷ 4 = 111,053,326.25

If the quotient is a whole number, then 4 and 111,053,326.25 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:

1 444,213,305
-1 444,213,305
Keep dividing by the next highest number until you cannot divide anymore.

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

15371631858156,03114,73130,15573,655545,0472,401,1532,725,23512,005,76588,842,661444,213,305
-1-5-37-163-185-815-6,031-14,731-30,155-73,655-545,047-2,401,153-2,725,235-12,005,765-88,842,661-444,213,305

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