Q: What are the factor combinations of the number 14,027,159?

 A:
Positive:   1 x 1402715917 x 82512731 x 45248943 x 326213527 x 26617619 x 22661731 x 191891333 x 10523
Negative: -1 x -14027159-17 x -825127-31 x -452489-43 x -326213-527 x -26617-619 x -22661-731 x -19189-1333 x -10523


How do I find the factor combinations of the number 14,027,159?

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 14,027,159, 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 14,027,159
-1 -14,027,159

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 14,027,159.

Example:
1 x 14,027,159 = 14,027,159
and
-1 x -14,027,159 = 14,027,159
Notice both answers equal 14,027,159

With that explanation out of the way, let's continue. Next, we take the number 14,027,159 and divide it by 2:

14,027,159 ÷ 2 = 7,013,579.5

If the quotient is a whole number, then 2 and 7,013,579.5 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 14,027,159
-1 -14,027,159

Now, we try dividing 14,027,159 by 3:

14,027,159 ÷ 3 = 4,675,719.6667

If the quotient is a whole number, then 3 and 4,675,719.6667 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 14,027,159
-1 -14,027,159

Let's try dividing by 4:

14,027,159 ÷ 4 = 3,506,789.75

If the quotient is a whole number, then 4 and 3,506,789.75 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 14,027,159
-1 14,027,159
Keep dividing by the next highest number until you cannot divide anymore.

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

11731435276197311,33310,52319,18922,66126,617326,213452,489825,12714,027,159
-1-17-31-43-527-619-731-1,333-10,523-19,189-22,661-26,617-326,213-452,489-825,127-14,027,159

More Examples

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