Q: What are the factor combinations of the number 110,866,021?

 A:
Positive:   1 x 1108660217 x 15838003157 x 706153281 x 394541359 x 3088191099 x 1008791967 x 563632513 x 44117
Negative: -1 x -110866021-7 x -15838003-157 x -706153-281 x -394541-359 x -308819-1099 x -100879-1967 x -56363-2513 x -44117


How do I find the factor combinations of the number 110,866,021?

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 110,866,021, 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.

1 110,866,021
-1 -110,866,021

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 110,866,021.

Example:
1 x 110,866,021 = 110,866,021
and
-1 x -110,866,021 = 110,866,021
Notice both answers equal 110,866,021

With that explanation out of the way, let's continue. Next, we take the number 110,866,021 and divide it by 2:

110,866,021 ÷ 2 = 55,433,010.5

If the quotient is a whole number, then 2 and 55,433,010.5 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:

1 110,866,021
-1 -110,866,021

Now, we try dividing 110,866,021 by 3:

110,866,021 ÷ 3 = 36,955,340.3333

If the quotient is a whole number, then 3 and 36,955,340.3333 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:

1 110,866,021
-1 -110,866,021

Let's try dividing by 4:

110,866,021 ÷ 4 = 27,716,505.25

If the quotient is a whole number, then 4 and 27,716,505.25 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:

1 110,866,021
-1 110,866,021
Keep dividing by the next highest number until you cannot divide anymore.

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

171572813591,0991,9672,51344,11756,363100,879308,819394,541706,15315,838,003110,866,021
-1-7-157-281-359-1,099-1,967-2,513-44,117-56,363-100,879-308,819-394,541-706,153-15,838,003-110,866,021

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