Q: What are the factor combinations of the number 11,520,161?

 A:
Positive:   1 x 11520161101 x 114061167 x 68983683 x 16867
Negative: -1 x -11520161-101 x -114061-167 x -68983-683 x -16867


How do I find the factor combinations of the number 11,520,161?

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 11,520,161, 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 11,520,161
-1 -11,520,161

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 11,520,161.

Example:
1 x 11,520,161 = 11,520,161
and
-1 x -11,520,161 = 11,520,161
Notice both answers equal 11,520,161

With that explanation out of the way, let's continue. Next, we take the number 11,520,161 and divide it by 2:

11,520,161 ÷ 2 = 5,760,080.5

If the quotient is a whole number, then 2 and 5,760,080.5 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 11,520,161
-1 -11,520,161

Now, we try dividing 11,520,161 by 3:

11,520,161 ÷ 3 = 3,840,053.6667

If the quotient is a whole number, then 3 and 3,840,053.6667 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 11,520,161
-1 -11,520,161

Let's try dividing by 4:

11,520,161 ÷ 4 = 2,880,040.25

If the quotient is a whole number, then 4 and 2,880,040.25 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 11,520,161
-1 11,520,161
Keep dividing by the next highest number until you cannot divide anymore.

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

110116768316,86768,983114,06111,520,161
-1-101-167-683-16,867-68,983-114,061-11,520,161

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 11,520,161:


Ask a Question