Q: What are the factor combinations of the number 112,041,011?

 A:
Positive:   1 x 1120410112039 x 54949
Negative: -1 x -112041011-2039 x -54949


How do I find the factor combinations of the number 112,041,011?

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 112,041,011, 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.

1 112,041,011
-1 -112,041,011

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 112,041,011.

Example:
1 x 112,041,011 = 112,041,011
and
-1 x -112,041,011 = 112,041,011
Notice both answers equal 112,041,011

With that explanation out of the way, let's continue. Next, we take the number 112,041,011 and divide it by 2:

112,041,011 ÷ 2 = 56,020,505.5

If the quotient is a whole number, then 2 and 56,020,505.5 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:

1 112,041,011
-1 -112,041,011

Now, we try dividing 112,041,011 by 3:

112,041,011 ÷ 3 = 37,347,003.6667

If the quotient is a whole number, then 3 and 37,347,003.6667 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:

1 112,041,011
-1 -112,041,011

Let's try dividing by 4:

112,041,011 ÷ 4 = 28,010,252.75

If the quotient is a whole number, then 4 and 28,010,252.75 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:

1 112,041,011
-1 112,041,011
Keep dividing by the next highest number until you cannot divide anymore.

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

12,03954,949112,041,011
-1-2,039-54,949-112,041,011

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 112,041,011:


Ask a Question