Q: What are the factor combinations of the number 10,164,179?

 A:
Positive:   1 x 10164179
Negative: -1 x -10164179


How do I find the factor combinations of the number 10,164,179?

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 10,164,179, 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 10,164,179
-1 -10,164,179

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 10,164,179.

Example:
1 x 10,164,179 = 10,164,179
and
-1 x -10,164,179 = 10,164,179
Notice both answers equal 10,164,179

With that explanation out of the way, let's continue. Next, we take the number 10,164,179 and divide it by 2:

10,164,179 ÷ 2 = 5,082,089.5

If the quotient is a whole number, then 2 and 5,082,089.5 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 10,164,179
-1 -10,164,179

Now, we try dividing 10,164,179 by 3:

10,164,179 ÷ 3 = 3,388,059.6667

If the quotient is a whole number, then 3 and 3,388,059.6667 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 10,164,179
-1 -10,164,179

Let's try dividing by 4:

10,164,179 ÷ 4 = 2,541,044.75

If the quotient is a whole number, then 4 and 2,541,044.75 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 10,164,179
-1 10,164,179
Keep dividing by the next highest number until you cannot divide anymore.

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

110,164,179
-1-10,164,179

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 10,164,179:


Ask a Question