Q: What are the factor combinations of the number 18,673,789?

 A:
Positive:   1 x 1867378919 x 98283137 x 504697101 x 184889263 x 71003703 x 265631919 x 97313737 x 4997
Negative: -1 x -18673789-19 x -982831-37 x -504697-101 x -184889-263 x -71003-703 x -26563-1919 x -9731-3737 x -4997


How do I find the factor combinations of the number 18,673,789?

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 18,673,789, 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 18,673,789
-1 -18,673,789

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 18,673,789.

Example:
1 x 18,673,789 = 18,673,789
and
-1 x -18,673,789 = 18,673,789
Notice both answers equal 18,673,789

With that explanation out of the way, let's continue. Next, we take the number 18,673,789 and divide it by 2:

18,673,789 ÷ 2 = 9,336,894.5

If the quotient is a whole number, then 2 and 9,336,894.5 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 18,673,789
-1 -18,673,789

Now, we try dividing 18,673,789 by 3:

18,673,789 ÷ 3 = 6,224,596.3333

If the quotient is a whole number, then 3 and 6,224,596.3333 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 18,673,789
-1 -18,673,789

Let's try dividing by 4:

18,673,789 ÷ 4 = 4,668,447.25

If the quotient is a whole number, then 4 and 4,668,447.25 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 18,673,789
-1 18,673,789
Keep dividing by the next highest number until you cannot divide anymore.

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

119371012637031,9193,7374,9979,73126,56371,003184,889504,697982,83118,673,789
-1-19-37-101-263-703-1,919-3,737-4,997-9,731-26,563-71,003-184,889-504,697-982,831-18,673,789

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