Q: What are the factor combinations of the number 12,638,173?

 A:
Positive:   1 x 1263817319 x 66516731 x 40768343 x 293911499 x 25327589 x 21457817 x 154691333 x 9481
Negative: -1 x -12638173-19 x -665167-31 x -407683-43 x -293911-499 x -25327-589 x -21457-817 x -15469-1333 x -9481


How do I find the factor combinations of the number 12,638,173?

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 12,638,173, 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 12,638,173
-1 -12,638,173

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 12,638,173.

Example:
1 x 12,638,173 = 12,638,173
and
-1 x -12,638,173 = 12,638,173
Notice both answers equal 12,638,173

With that explanation out of the way, let's continue. Next, we take the number 12,638,173 and divide it by 2:

12,638,173 ÷ 2 = 6,319,086.5

If the quotient is a whole number, then 2 and 6,319,086.5 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 12,638,173
-1 -12,638,173

Now, we try dividing 12,638,173 by 3:

12,638,173 ÷ 3 = 4,212,724.3333

If the quotient is a whole number, then 3 and 4,212,724.3333 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 12,638,173
-1 -12,638,173

Let's try dividing by 4:

12,638,173 ÷ 4 = 3,159,543.25

If the quotient is a whole number, then 4 and 3,159,543.25 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 12,638,173
-1 12,638,173
Keep dividing by the next highest number until you cannot divide anymore.

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

11931434995898171,3339,48115,46921,45725,327293,911407,683665,16712,638,173
-1-19-31-43-499-589-817-1,333-9,481-15,469-21,457-25,327-293,911-407,683-665,167-12,638,173

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 12,638,173:


Ask a Question