Q: What are the factor combinations of the number 14,027,165?

 A:
Positive:   1 x 140271655 x 2805433107 x 131095157 x 89345167 x 83995535 x 26219785 x 17869835 x 16799
Negative: -1 x -14027165-5 x -2805433-107 x -131095-157 x -89345-167 x -83995-535 x -26219-785 x -17869-835 x -16799


How do I find the factor combinations of the number 14,027,165?

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 14,027,165, 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 14,027,165
-1 -14,027,165

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 14,027,165.

Example:
1 x 14,027,165 = 14,027,165
and
-1 x -14,027,165 = 14,027,165
Notice both answers equal 14,027,165

With that explanation out of the way, let's continue. Next, we take the number 14,027,165 and divide it by 2:

14,027,165 ÷ 2 = 7,013,582.5

If the quotient is a whole number, then 2 and 7,013,582.5 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 14,027,165
-1 -14,027,165

Now, we try dividing 14,027,165 by 3:

14,027,165 ÷ 3 = 4,675,721.6667

If the quotient is a whole number, then 3 and 4,675,721.6667 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 14,027,165
-1 -14,027,165

Let's try dividing by 4:

14,027,165 ÷ 4 = 3,506,791.25

If the quotient is a whole number, then 4 and 3,506,791.25 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 14,027,165
-1 14,027,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1510715716753578583516,79917,86926,21983,99589,345131,0952,805,43314,027,165
-1-5-107-157-167-535-785-835-16,799-17,869-26,219-83,995-89,345-131,095-2,805,433-14,027,165

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