Q: What are the factor combinations of the number 118,218,611?

 A:
Positive:   1 x 1182186117 x 1688837389 x 1328299623 x 189757
Negative: -1 x -118218611-7 x -16888373-89 x -1328299-623 x -189757


How do I find the factor combinations of the number 118,218,611?

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 118,218,611, 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.

1 118,218,611
-1 -118,218,611

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 118,218,611.

Example:
1 x 118,218,611 = 118,218,611
and
-1 x -118,218,611 = 118,218,611
Notice both answers equal 118,218,611

With that explanation out of the way, let's continue. Next, we take the number 118,218,611 and divide it by 2:

118,218,611 ÷ 2 = 59,109,305.5

If the quotient is a whole number, then 2 and 59,109,305.5 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:

1 118,218,611
-1 -118,218,611

Now, we try dividing 118,218,611 by 3:

118,218,611 ÷ 3 = 39,406,203.6667

If the quotient is a whole number, then 3 and 39,406,203.6667 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:

1 118,218,611
-1 -118,218,611

Let's try dividing by 4:

118,218,611 ÷ 4 = 29,554,652.75

If the quotient is a whole number, then 4 and 29,554,652.75 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:

1 118,218,611
-1 118,218,611
Keep dividing by the next highest number until you cannot divide anymore.

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

1789623189,7571,328,29916,888,373118,218,611
-1-7-89-623-189,757-1,328,299-16,888,373-118,218,611

More Examples

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