Q: What are the factor combinations of the number 18,406,171?

 A:
Positive:   1 x 184061717 x 262945341 x 44893159 x 311969287 x 64133413 x 445671087 x 169332419 x 7609
Negative: -1 x -18406171-7 x -2629453-41 x -448931-59 x -311969-287 x -64133-413 x -44567-1087 x -16933-2419 x -7609


How do I find the factor combinations of the number 18,406,171?

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 18,406,171, 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 18,406,171
-1 -18,406,171

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 18,406,171.

Example:
1 x 18,406,171 = 18,406,171
and
-1 x -18,406,171 = 18,406,171
Notice both answers equal 18,406,171

With that explanation out of the way, let's continue. Next, we take the number 18,406,171 and divide it by 2:

18,406,171 ÷ 2 = 9,203,085.5

If the quotient is a whole number, then 2 and 9,203,085.5 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 18,406,171
-1 -18,406,171

Now, we try dividing 18,406,171 by 3:

18,406,171 ÷ 3 = 6,135,390.3333

If the quotient is a whole number, then 3 and 6,135,390.3333 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 18,406,171
-1 -18,406,171

Let's try dividing by 4:

18,406,171 ÷ 4 = 4,601,542.75

If the quotient is a whole number, then 4 and 4,601,542.75 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 18,406,171
-1 18,406,171
Keep dividing by the next highest number until you cannot divide anymore.

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

1741592874131,0872,4197,60916,93344,56764,133311,969448,9312,629,45318,406,171
-1-7-41-59-287-413-1,087-2,419-7,609-16,933-44,567-64,133-311,969-448,931-2,629,453-18,406,171

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