Q: What are the factor combinations of the number 12,162,667?

 A:
Positive:   1 x 1216266711 x 110569717 x 715451187 x 65041193 x 63019337 x 360912123 x 57293281 x 3707
Negative: -1 x -12162667-11 x -1105697-17 x -715451-187 x -65041-193 x -63019-337 x -36091-2123 x -5729-3281 x -3707


How do I find the factor combinations of the number 12,162,667?

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 12,162,667, 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 12,162,667
-1 -12,162,667

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 12,162,667.

Example:
1 x 12,162,667 = 12,162,667
and
-1 x -12,162,667 = 12,162,667
Notice both answers equal 12,162,667

With that explanation out of the way, let's continue. Next, we take the number 12,162,667 and divide it by 2:

12,162,667 ÷ 2 = 6,081,333.5

If the quotient is a whole number, then 2 and 6,081,333.5 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 12,162,667
-1 -12,162,667

Now, we try dividing 12,162,667 by 3:

12,162,667 ÷ 3 = 4,054,222.3333

If the quotient is a whole number, then 3 and 4,054,222.3333 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 12,162,667
-1 -12,162,667

Let's try dividing by 4:

12,162,667 ÷ 4 = 3,040,666.75

If the quotient is a whole number, then 4 and 3,040,666.75 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 12,162,667
-1 12,162,667
Keep dividing by the next highest number until you cannot divide anymore.

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

111171871933372,1233,2813,7075,72936,09163,01965,041715,4511,105,69712,162,667
-1-11-17-187-193-337-2,123-3,281-3,707-5,729-36,091-63,019-65,041-715,451-1,105,697-12,162,667

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 12,162,667:


Ask a Question