Q: What are the factor combinations of the number 14,014,567?

 A:
Positive:   1 x 140145677 x 200208123 x 60932961 x 229747161 x 87047427 x 328211403 x 99891427 x 9821
Negative: -1 x -14014567-7 x -2002081-23 x -609329-61 x -229747-161 x -87047-427 x -32821-1403 x -9989-1427 x -9821


How do I find the factor combinations of the number 14,014,567?

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 14,014,567, 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 14,014,567
-1 -14,014,567

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 14,014,567.

Example:
1 x 14,014,567 = 14,014,567
and
-1 x -14,014,567 = 14,014,567
Notice both answers equal 14,014,567

With that explanation out of the way, let's continue. Next, we take the number 14,014,567 and divide it by 2:

14,014,567 ÷ 2 = 7,007,283.5

If the quotient is a whole number, then 2 and 7,007,283.5 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 14,014,567
-1 -14,014,567

Now, we try dividing 14,014,567 by 3:

14,014,567 ÷ 3 = 4,671,522.3333

If the quotient is a whole number, then 3 and 4,671,522.3333 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 14,014,567
-1 -14,014,567

Let's try dividing by 4:

14,014,567 ÷ 4 = 3,503,641.75

If the quotient is a whole number, then 4 and 3,503,641.75 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 14,014,567
-1 14,014,567
Keep dividing by the next highest number until you cannot divide anymore.

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

1723611614271,4031,4279,8219,98932,82187,047229,747609,3292,002,08114,014,567
-1-7-23-61-161-427-1,403-1,427-9,821-9,989-32,821-87,047-229,747-609,329-2,002,081-14,014,567

More Examples

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