Q: What are the factor combinations of the number 110,020,999?

 A:
Positive:   1 x 11002099911 x 1000190941 x 268343989 x 1236191451 x 243949979 x 1123812741 x 401393649 x 30151
Negative: -1 x -110020999-11 x -10001909-41 x -2683439-89 x -1236191-451 x -243949-979 x -112381-2741 x -40139-3649 x -30151


How do I find the factor combinations of the number 110,020,999?

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 110,020,999, 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.

1 110,020,999
-1 -110,020,999

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 110,020,999.

Example:
1 x 110,020,999 = 110,020,999
and
-1 x -110,020,999 = 110,020,999
Notice both answers equal 110,020,999

With that explanation out of the way, let's continue. Next, we take the number 110,020,999 and divide it by 2:

110,020,999 ÷ 2 = 55,010,499.5

If the quotient is a whole number, then 2 and 55,010,499.5 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:

1 110,020,999
-1 -110,020,999

Now, we try dividing 110,020,999 by 3:

110,020,999 ÷ 3 = 36,673,666.3333

If the quotient is a whole number, then 3 and 36,673,666.3333 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:

1 110,020,999
-1 -110,020,999

Let's try dividing by 4:

110,020,999 ÷ 4 = 27,505,249.75

If the quotient is a whole number, then 4 and 27,505,249.75 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:

1 110,020,999
-1 110,020,999
Keep dividing by the next highest number until you cannot divide anymore.

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

11141894519792,7413,64930,15140,139112,381243,9491,236,1912,683,43910,001,909110,020,999
-1-11-41-89-451-979-2,741-3,649-30,151-40,139-112,381-243,949-1,236,191-2,683,439-10,001,909-110,020,999

More Examples

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