Q: What are the factor combinations of the number 14,044,015?

 A:
Positive:   1 x 140440155 x 280880343 x 32660583 x 169205215 x 65321415 x 33841787 x 178453569 x 3935
Negative: -1 x -14044015-5 x -2808803-43 x -326605-83 x -169205-215 x -65321-415 x -33841-787 x -17845-3569 x -3935


How do I find the factor combinations of the number 14,044,015?

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 14,044,015, 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 14,044,015
-1 -14,044,015

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 14,044,015.

Example:
1 x 14,044,015 = 14,044,015
and
-1 x -14,044,015 = 14,044,015
Notice both answers equal 14,044,015

With that explanation out of the way, let's continue. Next, we take the number 14,044,015 and divide it by 2:

14,044,015 ÷ 2 = 7,022,007.5

If the quotient is a whole number, then 2 and 7,022,007.5 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 14,044,015
-1 -14,044,015

Now, we try dividing 14,044,015 by 3:

14,044,015 ÷ 3 = 4,681,338.3333

If the quotient is a whole number, then 3 and 4,681,338.3333 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 14,044,015
-1 -14,044,015

Let's try dividing by 4:

14,044,015 ÷ 4 = 3,511,003.75

If the quotient is a whole number, then 4 and 3,511,003.75 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 14,044,015
-1 14,044,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1543832154157873,5693,93517,84533,84165,321169,205326,6052,808,80314,044,015
-1-5-43-83-215-415-787-3,569-3,935-17,845-33,841-65,321-169,205-326,605-2,808,803-14,044,015

More Examples

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