Q: What are the factor combinations of the number 19,018,013?

 A:
Positive:   1 x 190180137 x 2716859113 x 168301791 x 24043
Negative: -1 x -19018013-7 x -2716859-113 x -168301-791 x -24043


How do I find the factor combinations of the number 19,018,013?

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 19,018,013, 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 19,018,013
-1 -19,018,013

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 19,018,013.

Example:
1 x 19,018,013 = 19,018,013
and
-1 x -19,018,013 = 19,018,013
Notice both answers equal 19,018,013

With that explanation out of the way, let's continue. Next, we take the number 19,018,013 and divide it by 2:

19,018,013 ÷ 2 = 9,509,006.5

If the quotient is a whole number, then 2 and 9,509,006.5 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 19,018,013
-1 -19,018,013

Now, we try dividing 19,018,013 by 3:

19,018,013 ÷ 3 = 6,339,337.6667

If the quotient is a whole number, then 3 and 6,339,337.6667 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 19,018,013
-1 -19,018,013

Let's try dividing by 4:

19,018,013 ÷ 4 = 4,754,503.25

If the quotient is a whole number, then 4 and 4,754,503.25 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 19,018,013
-1 19,018,013
Keep dividing by the next highest number until you cannot divide anymore.

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

1711379124,043168,3012,716,85919,018,013
-1-7-113-791-24,043-168,301-2,716,859-19,018,013

More Examples

Here are some more numbers to try:

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