Q: What are the factor combinations of the number 14,040,323?

 A:
Positive:   1 x 1404032311 x 1276393887 x 158291439 x 9757
Negative: -1 x -14040323-11 x -1276393-887 x -15829-1439 x -9757


How do I find the factor combinations of the number 14,040,323?

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 14,040,323, 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 14,040,323
-1 -14,040,323

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 14,040,323.

Example:
1 x 14,040,323 = 14,040,323
and
-1 x -14,040,323 = 14,040,323
Notice both answers equal 14,040,323

With that explanation out of the way, let's continue. Next, we take the number 14,040,323 and divide it by 2:

14,040,323 ÷ 2 = 7,020,161.5

If the quotient is a whole number, then 2 and 7,020,161.5 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 14,040,323
-1 -14,040,323

Now, we try dividing 14,040,323 by 3:

14,040,323 ÷ 3 = 4,680,107.6667

If the quotient is a whole number, then 3 and 4,680,107.6667 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 14,040,323
-1 -14,040,323

Let's try dividing by 4:

14,040,323 ÷ 4 = 3,510,080.75

If the quotient is a whole number, then 4 and 3,510,080.75 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 14,040,323
-1 14,040,323
Keep dividing by the next highest number until you cannot divide anymore.

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

1118871,4399,75715,8291,276,39314,040,323
-1-11-887-1,439-9,757-15,829-1,276,393-14,040,323

More Examples

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