Q: What are the factor combinations of the number 17,223,167?

 A:
Positive:   1 x 1722316713 x 132485937 x 46549161 x 282347481 x 35807587 x 29341793 x 217192257 x 7631
Negative: -1 x -17223167-13 x -1324859-37 x -465491-61 x -282347-481 x -35807-587 x -29341-793 x -21719-2257 x -7631


How do I find the factor combinations of the number 17,223,167?

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 17,223,167, 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 17,223,167
-1 -17,223,167

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 17,223,167.

Example:
1 x 17,223,167 = 17,223,167
and
-1 x -17,223,167 = 17,223,167
Notice both answers equal 17,223,167

With that explanation out of the way, let's continue. Next, we take the number 17,223,167 and divide it by 2:

17,223,167 ÷ 2 = 8,611,583.5

If the quotient is a whole number, then 2 and 8,611,583.5 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 17,223,167
-1 -17,223,167

Now, we try dividing 17,223,167 by 3:

17,223,167 ÷ 3 = 5,741,055.6667

If the quotient is a whole number, then 3 and 5,741,055.6667 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 17,223,167
-1 -17,223,167

Let's try dividing by 4:

17,223,167 ÷ 4 = 4,305,791.75

If the quotient is a whole number, then 4 and 4,305,791.75 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 17,223,167
-1 17,223,167
Keep dividing by the next highest number until you cannot divide anymore.

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

11337614815877932,2577,63121,71929,34135,807282,347465,4911,324,85917,223,167
-1-13-37-61-481-587-793-2,257-7,631-21,719-29,341-35,807-282,347-465,491-1,324,859-17,223,167

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