Q: What are the factor combinations of the number 11,016,433?

 A:
Positive:   1 x 1101643329 x 379877
Negative: -1 x -11016433-29 x -379877


How do I find the factor combinations of the number 11,016,433?

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 11,016,433, 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 11,016,433
-1 -11,016,433

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 11,016,433.

Example:
1 x 11,016,433 = 11,016,433
and
-1 x -11,016,433 = 11,016,433
Notice both answers equal 11,016,433

With that explanation out of the way, let's continue. Next, we take the number 11,016,433 and divide it by 2:

11,016,433 ÷ 2 = 5,508,216.5

If the quotient is a whole number, then 2 and 5,508,216.5 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 11,016,433
-1 -11,016,433

Now, we try dividing 11,016,433 by 3:

11,016,433 ÷ 3 = 3,672,144.3333

If the quotient is a whole number, then 3 and 3,672,144.3333 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 11,016,433
-1 -11,016,433

Let's try dividing by 4:

11,016,433 ÷ 4 = 2,754,108.25

If the quotient is a whole number, then 4 and 2,754,108.25 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 11,016,433
-1 11,016,433
Keep dividing by the next highest number until you cannot divide anymore.

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

129379,87711,016,433
-1-29-379,877-11,016,433

More Examples

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