Q: What are the factor combinations of the number 11,104,045?

 A:
Positive:   1 x 111040455 x 222080931 x 35819571 x 156395155 x 71639355 x 312791009 x 110052201 x 5045
Negative: -1 x -11104045-5 x -2220809-31 x -358195-71 x -156395-155 x -71639-355 x -31279-1009 x -11005-2201 x -5045


How do I find the factor combinations of the number 11,104,045?

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 11,104,045, 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 11,104,045
-1 -11,104,045

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 11,104,045.

Example:
1 x 11,104,045 = 11,104,045
and
-1 x -11,104,045 = 11,104,045
Notice both answers equal 11,104,045

With that explanation out of the way, let's continue. Next, we take the number 11,104,045 and divide it by 2:

11,104,045 ÷ 2 = 5,552,022.5

If the quotient is a whole number, then 2 and 5,552,022.5 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 11,104,045
-1 -11,104,045

Now, we try dividing 11,104,045 by 3:

11,104,045 ÷ 3 = 3,701,348.3333

If the quotient is a whole number, then 3 and 3,701,348.3333 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 11,104,045
-1 -11,104,045

Let's try dividing by 4:

11,104,045 ÷ 4 = 2,776,011.25

If the quotient is a whole number, then 4 and 2,776,011.25 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 11,104,045
-1 11,104,045
Keep dividing by the next highest number until you cannot divide anymore.

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

1531711553551,0092,2015,04511,00531,27971,639156,395358,1952,220,80911,104,045
-1-5-31-71-155-355-1,009-2,201-5,045-11,005-31,279-71,639-156,395-358,195-2,220,809-11,104,045

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 11,104,045:


Ask a Question