Q: What are the factor combinations of the number 14,011,123?

 A:
Positive:   1 x 140111237 x 200158937 x 37867947 x 298109259 x 54097329 x 425871151 x 121731739 x 8057
Negative: -1 x -14011123-7 x -2001589-37 x -378679-47 x -298109-259 x -54097-329 x -42587-1151 x -12173-1739 x -8057


How do I find the factor combinations of the number 14,011,123?

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 14,011,123, 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 14,011,123
-1 -14,011,123

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 14,011,123.

Example:
1 x 14,011,123 = 14,011,123
and
-1 x -14,011,123 = 14,011,123
Notice both answers equal 14,011,123

With that explanation out of the way, let's continue. Next, we take the number 14,011,123 and divide it by 2:

14,011,123 ÷ 2 = 7,005,561.5

If the quotient is a whole number, then 2 and 7,005,561.5 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 14,011,123
-1 -14,011,123

Now, we try dividing 14,011,123 by 3:

14,011,123 ÷ 3 = 4,670,374.3333

If the quotient is a whole number, then 3 and 4,670,374.3333 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 14,011,123
-1 -14,011,123

Let's try dividing by 4:

14,011,123 ÷ 4 = 3,502,780.75

If the quotient is a whole number, then 4 and 3,502,780.75 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 14,011,123
-1 14,011,123
Keep dividing by the next highest number until you cannot divide anymore.

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

1737472593291,1511,7398,05712,17342,58754,097298,109378,6792,001,58914,011,123
-1-7-37-47-259-329-1,151-1,739-8,057-12,173-42,587-54,097-298,109-378,679-2,001,589-14,011,123

More Examples

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