Q: What are the factor combinations of the number 14,204,723?

 A:
Positive:   1 x 1420472313 x 109267119 x 747617131 x 108433247 x 57509439 x 323571703 x 83412489 x 5707
Negative: -1 x -14204723-13 x -1092671-19 x -747617-131 x -108433-247 x -57509-439 x -32357-1703 x -8341-2489 x -5707


How do I find the factor combinations of the number 14,204,723?

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 14,204,723, 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 14,204,723
-1 -14,204,723

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 14,204,723.

Example:
1 x 14,204,723 = 14,204,723
and
-1 x -14,204,723 = 14,204,723
Notice both answers equal 14,204,723

With that explanation out of the way, let's continue. Next, we take the number 14,204,723 and divide it by 2:

14,204,723 ÷ 2 = 7,102,361.5

If the quotient is a whole number, then 2 and 7,102,361.5 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 14,204,723
-1 -14,204,723

Now, we try dividing 14,204,723 by 3:

14,204,723 ÷ 3 = 4,734,907.6667

If the quotient is a whole number, then 3 and 4,734,907.6667 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 14,204,723
-1 -14,204,723

Let's try dividing by 4:

14,204,723 ÷ 4 = 3,551,180.75

If the quotient is a whole number, then 4 and 3,551,180.75 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 14,204,723
-1 14,204,723
Keep dividing by the next highest number until you cannot divide anymore.

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

113191312474391,7032,4895,7078,34132,35757,509108,433747,6171,092,67114,204,723
-1-13-19-131-247-439-1,703-2,489-5,707-8,341-32,357-57,509-108,433-747,617-1,092,671-14,204,723

More Examples

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