Q: What are the factor combinations of the number 11,010,013?

 A:
Positive:   1 x 110100137 x 1572859239 x 460671673 x 6581
Negative: -1 x -11010013-7 x -1572859-239 x -46067-1673 x -6581


How do I find the factor combinations of the number 11,010,013?

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 11,010,013, 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 11,010,013
-1 -11,010,013

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 11,010,013.

Example:
1 x 11,010,013 = 11,010,013
and
-1 x -11,010,013 = 11,010,013
Notice both answers equal 11,010,013

With that explanation out of the way, let's continue. Next, we take the number 11,010,013 and divide it by 2:

11,010,013 ÷ 2 = 5,505,006.5

If the quotient is a whole number, then 2 and 5,505,006.5 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 11,010,013
-1 -11,010,013

Now, we try dividing 11,010,013 by 3:

11,010,013 ÷ 3 = 3,670,004.3333

If the quotient is a whole number, then 3 and 3,670,004.3333 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 11,010,013
-1 -11,010,013

Let's try dividing by 4:

11,010,013 ÷ 4 = 2,752,503.25

If the quotient is a whole number, then 4 and 2,752,503.25 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 11,010,013
-1 11,010,013
Keep dividing by the next highest number until you cannot divide anymore.

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

172391,6736,58146,0671,572,85911,010,013
-1-7-239-1,673-6,581-46,067-1,572,859-11,010,013

More Examples

Here are some more numbers to try:

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