Q: What are the factor combinations of the number 11,020,043?

 A:
Positive:   1 x 1102004337 x 29783947 x 2344691739 x 6337
Negative: -1 x -11020043-37 x -297839-47 x -234469-1739 x -6337


How do I find the factor combinations of the number 11,020,043?

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 11,020,043, 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 11,020,043
-1 -11,020,043

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 11,020,043.

Example:
1 x 11,020,043 = 11,020,043
and
-1 x -11,020,043 = 11,020,043
Notice both answers equal 11,020,043

With that explanation out of the way, let's continue. Next, we take the number 11,020,043 and divide it by 2:

11,020,043 ÷ 2 = 5,510,021.5

If the quotient is a whole number, then 2 and 5,510,021.5 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 11,020,043
-1 -11,020,043

Now, we try dividing 11,020,043 by 3:

11,020,043 ÷ 3 = 3,673,347.6667

If the quotient is a whole number, then 3 and 3,673,347.6667 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 11,020,043
-1 -11,020,043

Let's try dividing by 4:

11,020,043 ÷ 4 = 2,755,010.75

If the quotient is a whole number, then 4 and 2,755,010.75 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 11,020,043
-1 11,020,043
Keep dividing by the next highest number until you cannot divide anymore.

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

137471,7396,337234,469297,83911,020,043
-1-37-47-1,739-6,337-234,469-297,839-11,020,043

More Examples

Here are some more numbers to try:

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