Q: What are the factor combinations of the number 444,424,649?

 A:
Positive:   1 x 44442464919 x 2339077131 x 1433627937 x 12011477589 x 754541703 x 6321831147 x 38746720393 x 21793
Negative: -1 x -444424649-19 x -23390771-31 x -14336279-37 x -12011477-589 x -754541-703 x -632183-1147 x -387467-20393 x -21793


How do I find the factor combinations of the number 444,424,649?

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 444,424,649, 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.

1 444,424,649
-1 -444,424,649

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 444,424,649.

Example:
1 x 444,424,649 = 444,424,649
and
-1 x -444,424,649 = 444,424,649
Notice both answers equal 444,424,649

With that explanation out of the way, let's continue. Next, we take the number 444,424,649 and divide it by 2:

444,424,649 ÷ 2 = 222,212,324.5

If the quotient is a whole number, then 2 and 222,212,324.5 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:

1 444,424,649
-1 -444,424,649

Now, we try dividing 444,424,649 by 3:

444,424,649 ÷ 3 = 148,141,549.6667

If the quotient is a whole number, then 3 and 148,141,549.6667 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:

1 444,424,649
-1 -444,424,649

Let's try dividing by 4:

444,424,649 ÷ 4 = 111,106,162.25

If the quotient is a whole number, then 4 and 111,106,162.25 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:

1 444,424,649
-1 444,424,649
Keep dividing by the next highest number until you cannot divide anymore.

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

11931375897031,14720,39321,793387,467632,183754,54112,011,47714,336,27923,390,771444,424,649
-1-19-31-37-589-703-1,147-20,393-21,793-387,467-632,183-754,541-12,011,477-14,336,279-23,390,771-444,424,649

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