Q: What are the factor combinations of the number 1,809,731?

 A:
Positive:   1 x 18097317 x 25853311 x 16452119 x 9524977 x 23503133 x 13607209 x 86591237 x 1463
Negative: -1 x -1809731-7 x -258533-11 x -164521-19 x -95249-77 x -23503-133 x -13607-209 x -8659-1237 x -1463


How do I find the factor combinations of the number 1,809,731?

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 1,809,731, 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 1,809,731
-1 -1,809,731

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 1,809,731.

Example:
1 x 1,809,731 = 1,809,731
and
-1 x -1,809,731 = 1,809,731
Notice both answers equal 1,809,731

With that explanation out of the way, let's continue. Next, we take the number 1,809,731 and divide it by 2:

1,809,731 ÷ 2 = 904,865.5

If the quotient is a whole number, then 2 and 904,865.5 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 1,809,731
-1 -1,809,731

Now, we try dividing 1,809,731 by 3:

1,809,731 ÷ 3 = 603,243.6667

If the quotient is a whole number, then 3 and 603,243.6667 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 1,809,731
-1 -1,809,731

Let's try dividing by 4:

1,809,731 ÷ 4 = 452,432.75

If the quotient is a whole number, then 4 and 452,432.75 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 1,809,731
-1 1,809,731
Keep dividing by the next highest number until you cannot divide anymore.

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

171119771332091,2371,4638,65913,60723,50395,249164,521258,5331,809,731
-1-7-11-19-77-133-209-1,237-1,463-8,659-13,607-23,503-95,249-164,521-258,533-1,809,731

More Examples

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