Q: What are the factor combinations of the number 11,000,003?

 A:
Positive:   1 x 110000037 x 157142917 x 64705923 x 478261119 x 92437161 x 68323391 x 281332737 x 4019
Negative: -1 x -11000003-7 x -1571429-17 x -647059-23 x -478261-119 x -92437-161 x -68323-391 x -28133-2737 x -4019


How do I find the factor combinations of the number 11,000,003?

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 11,000,003, 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 11,000,003
-1 -11,000,003

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 11,000,003.

Example:
1 x 11,000,003 = 11,000,003
and
-1 x -11,000,003 = 11,000,003
Notice both answers equal 11,000,003

With that explanation out of the way, let's continue. Next, we take the number 11,000,003 and divide it by 2:

11,000,003 ÷ 2 = 5,500,001.5

If the quotient is a whole number, then 2 and 5,500,001.5 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 11,000,003
-1 -11,000,003

Now, we try dividing 11,000,003 by 3:

11,000,003 ÷ 3 = 3,666,667.6667

If the quotient is a whole number, then 3 and 3,666,667.6667 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 11,000,003
-1 -11,000,003

Let's try dividing by 4:

11,000,003 ÷ 4 = 2,750,000.75

If the quotient is a whole number, then 4 and 2,750,000.75 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 11,000,003
-1 11,000,003
Keep dividing by the next highest number until you cannot divide anymore.

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

1717231191613912,7374,01928,13368,32392,437478,261647,0591,571,42911,000,003
-1-7-17-23-119-161-391-2,737-4,019-28,133-68,323-92,437-478,261-647,059-1,571,429-11,000,003

More Examples

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