Q: What are the factor combinations of the number 14,222,165?

 A:
Positive:   1 x 142221655 x 284443319 x 74853523 x 61835595 x 149707115 x 123671283 x 50255437 x 32545529 x 268851415 x 100512185 x 65092645 x 5377
Negative: -1 x -14222165-5 x -2844433-19 x -748535-23 x -618355-95 x -149707-115 x -123671-283 x -50255-437 x -32545-529 x -26885-1415 x -10051-2185 x -6509-2645 x -5377


How do I find the factor combinations of the number 14,222,165?

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 14,222,165, 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 14,222,165
-1 -14,222,165

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 14,222,165.

Example:
1 x 14,222,165 = 14,222,165
and
-1 x -14,222,165 = 14,222,165
Notice both answers equal 14,222,165

With that explanation out of the way, let's continue. Next, we take the number 14,222,165 and divide it by 2:

14,222,165 ÷ 2 = 7,111,082.5

If the quotient is a whole number, then 2 and 7,111,082.5 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 14,222,165
-1 -14,222,165

Now, we try dividing 14,222,165 by 3:

14,222,165 ÷ 3 = 4,740,721.6667

If the quotient is a whole number, then 3 and 4,740,721.6667 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 14,222,165
-1 -14,222,165

Let's try dividing by 4:

14,222,165 ÷ 4 = 3,555,541.25

If the quotient is a whole number, then 4 and 3,555,541.25 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 14,222,165
-1 14,222,165
Keep dividing by the next highest number until you cannot divide anymore.

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

151923951152834375291,4152,1852,6455,3776,50910,05126,88532,54550,255123,671149,707618,355748,5352,844,43314,222,165
-1-5-19-23-95-115-283-437-529-1,415-2,185-2,645-5,377-6,509-10,051-26,885-32,545-50,255-123,671-149,707-618,355-748,535-2,844,433-14,222,165

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