Q: What are the factor combinations of the number 14,114,131?

 A:
Positive:   1 x 1411413117 x 83024319 x 74284937 x 381463323 x 43697629 x 22439703 x 200771181 x 11951
Negative: -1 x -14114131-17 x -830243-19 x -742849-37 x -381463-323 x -43697-629 x -22439-703 x -20077-1181 x -11951


How do I find the factor combinations of the number 14,114,131?

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 14,114,131, 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 14,114,131
-1 -14,114,131

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 14,114,131.

Example:
1 x 14,114,131 = 14,114,131
and
-1 x -14,114,131 = 14,114,131
Notice both answers equal 14,114,131

With that explanation out of the way, let's continue. Next, we take the number 14,114,131 and divide it by 2:

14,114,131 ÷ 2 = 7,057,065.5

If the quotient is a whole number, then 2 and 7,057,065.5 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 14,114,131
-1 -14,114,131

Now, we try dividing 14,114,131 by 3:

14,114,131 ÷ 3 = 4,704,710.3333

If the quotient is a whole number, then 3 and 4,704,710.3333 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 14,114,131
-1 -14,114,131

Let's try dividing by 4:

14,114,131 ÷ 4 = 3,528,532.75

If the quotient is a whole number, then 4 and 3,528,532.75 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 14,114,131
-1 14,114,131
Keep dividing by the next highest number until you cannot divide anymore.

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

11719373236297031,18111,95120,07722,43943,697381,463742,849830,24314,114,131
-1-17-19-37-323-629-703-1,181-11,951-20,077-22,439-43,697-381,463-742,849-830,243-14,114,131

More Examples

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