Q: What are the factor combinations of the number 11,008,435?

 A:
Positive:   1 x 110084355 x 220168717 x 64755567 x 16430585 x 129511335 x 328611139 x 96651933 x 5695
Negative: -1 x -11008435-5 x -2201687-17 x -647555-67 x -164305-85 x -129511-335 x -32861-1139 x -9665-1933 x -5695


How do I find the factor combinations of the number 11,008,435?

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 11,008,435, 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 11,008,435
-1 -11,008,435

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 11,008,435.

Example:
1 x 11,008,435 = 11,008,435
and
-1 x -11,008,435 = 11,008,435
Notice both answers equal 11,008,435

With that explanation out of the way, let's continue. Next, we take the number 11,008,435 and divide it by 2:

11,008,435 ÷ 2 = 5,504,217.5

If the quotient is a whole number, then 2 and 5,504,217.5 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 11,008,435
-1 -11,008,435

Now, we try dividing 11,008,435 by 3:

11,008,435 ÷ 3 = 3,669,478.3333

If the quotient is a whole number, then 3 and 3,669,478.3333 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 11,008,435
-1 -11,008,435

Let's try dividing by 4:

11,008,435 ÷ 4 = 2,752,108.75

If the quotient is a whole number, then 4 and 2,752,108.75 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 11,008,435
-1 11,008,435
Keep dividing by the next highest number until you cannot divide anymore.

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

151767853351,1391,9335,6959,66532,861129,511164,305647,5552,201,68711,008,435
-1-5-17-67-85-335-1,139-1,933-5,695-9,665-32,861-129,511-164,305-647,555-2,201,687-11,008,435

More Examples

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