Q: What are the factor combinations of the number 17,215,123?

 A:
Positive:   1 x 17215123107 x 160889349 x 49327461 x 37343
Negative: -1 x -17215123-107 x -160889-349 x -49327-461 x -37343


How do I find the factor combinations of the number 17,215,123?

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 17,215,123, 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 17,215,123
-1 -17,215,123

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 17,215,123.

Example:
1 x 17,215,123 = 17,215,123
and
-1 x -17,215,123 = 17,215,123
Notice both answers equal 17,215,123

With that explanation out of the way, let's continue. Next, we take the number 17,215,123 and divide it by 2:

17,215,123 ÷ 2 = 8,607,561.5

If the quotient is a whole number, then 2 and 8,607,561.5 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 17,215,123
-1 -17,215,123

Now, we try dividing 17,215,123 by 3:

17,215,123 ÷ 3 = 5,738,374.3333

If the quotient is a whole number, then 3 and 5,738,374.3333 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 17,215,123
-1 -17,215,123

Let's try dividing by 4:

17,215,123 ÷ 4 = 4,303,780.75

If the quotient is a whole number, then 4 and 4,303,780.75 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 17,215,123
-1 17,215,123
Keep dividing by the next highest number until you cannot divide anymore.

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

110734946137,34349,327160,88917,215,123
-1-107-349-461-37,343-49,327-160,889-17,215,123

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 17,215,123:


Ask a Question