Q: What are the factor combinations of the number 444,120,299?

 A:
Positive:   1 x 4441202997 x 63445757107 x 4150657349 x 1272551749 x 5929511699 x 2614012443 x 18179311893 x 37343
Negative: -1 x -444120299-7 x -63445757-107 x -4150657-349 x -1272551-749 x -592951-1699 x -261401-2443 x -181793-11893 x -37343


How do I find the factor combinations of the number 444,120,299?

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 444,120,299, 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.

1 444,120,299
-1 -444,120,299

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 444,120,299.

Example:
1 x 444,120,299 = 444,120,299
and
-1 x -444,120,299 = 444,120,299
Notice both answers equal 444,120,299

With that explanation out of the way, let's continue. Next, we take the number 444,120,299 and divide it by 2:

444,120,299 ÷ 2 = 222,060,149.5

If the quotient is a whole number, then 2 and 222,060,149.5 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:

1 444,120,299
-1 -444,120,299

Now, we try dividing 444,120,299 by 3:

444,120,299 ÷ 3 = 148,040,099.6667

If the quotient is a whole number, then 3 and 148,040,099.6667 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:

1 444,120,299
-1 -444,120,299

Let's try dividing by 4:

444,120,299 ÷ 4 = 111,030,074.75

If the quotient is a whole number, then 4 and 111,030,074.75 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:

1 444,120,299
-1 444,120,299
Keep dividing by the next highest number until you cannot divide anymore.

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

171073497491,6992,44311,89337,343181,793261,401592,9511,272,5514,150,65763,445,757444,120,299
-1-7-107-349-749-1,699-2,443-11,893-37,343-181,793-261,401-592,951-1,272,551-4,150,657-63,445,757-444,120,299

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