Q: What are the factor combinations of the number 14,444,345?

 A:
Positive:   1 x 144443455 x 288886923 x 62801543 x 335915115 x 125603127 x 113735215 x 67183529 x 27305635 x 22747989 x 146052645 x 54612921 x 4945
Negative: -1 x -14444345-5 x -2888869-23 x -628015-43 x -335915-115 x -125603-127 x -113735-215 x -67183-529 x -27305-635 x -22747-989 x -14605-2645 x -5461-2921 x -4945


How do I find the factor combinations of the number 14,444,345?

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 14,444,345, 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 14,444,345
-1 -14,444,345

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 14,444,345.

Example:
1 x 14,444,345 = 14,444,345
and
-1 x -14,444,345 = 14,444,345
Notice both answers equal 14,444,345

With that explanation out of the way, let's continue. Next, we take the number 14,444,345 and divide it by 2:

14,444,345 ÷ 2 = 7,222,172.5

If the quotient is a whole number, then 2 and 7,222,172.5 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 14,444,345
-1 -14,444,345

Now, we try dividing 14,444,345 by 3:

14,444,345 ÷ 3 = 4,814,781.6667

If the quotient is a whole number, then 3 and 4,814,781.6667 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 14,444,345
-1 -14,444,345

Let's try dividing by 4:

14,444,345 ÷ 4 = 3,611,086.25

If the quotient is a whole number, then 4 and 3,611,086.25 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 14,444,345
-1 14,444,345
Keep dividing by the next highest number until you cannot divide anymore.

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

1523431151272155296359892,6452,9214,9455,46114,60522,74727,30567,183113,735125,603335,915628,0152,888,86914,444,345
-1-5-23-43-115-127-215-529-635-989-2,645-2,921-4,945-5,461-14,605-22,747-27,305-67,183-113,735-125,603-335,915-628,015-2,888,869-14,444,345

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