Q: What are the factor combinations of the number 110,858,605?

 A:
Positive:   1 x 1108586055 x 2217172111 x 1007805513 x 852758555 x 201561165 x 1705517143 x 775235715 x 155047
Negative: -1 x -110858605-5 x -22171721-11 x -10078055-13 x -8527585-55 x -2015611-65 x -1705517-143 x -775235-715 x -155047


How do I find the factor combinations of the number 110,858,605?

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 110,858,605, 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.

1 110,858,605
-1 -110,858,605

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 110,858,605.

Example:
1 x 110,858,605 = 110,858,605
and
-1 x -110,858,605 = 110,858,605
Notice both answers equal 110,858,605

With that explanation out of the way, let's continue. Next, we take the number 110,858,605 and divide it by 2:

110,858,605 ÷ 2 = 55,429,302.5

If the quotient is a whole number, then 2 and 55,429,302.5 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:

1 110,858,605
-1 -110,858,605

Now, we try dividing 110,858,605 by 3:

110,858,605 ÷ 3 = 36,952,868.3333

If the quotient is a whole number, then 3 and 36,952,868.3333 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:

1 110,858,605
-1 -110,858,605

Let's try dividing by 4:

110,858,605 ÷ 4 = 27,714,651.25

If the quotient is a whole number, then 4 and 27,714,651.25 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:

1 110,858,605
-1 110,858,605
Keep dividing by the next highest number until you cannot divide anymore.

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

1511135565143715155,047775,2351,705,5172,015,6118,527,58510,078,05522,171,721110,858,605
-1-5-11-13-55-65-143-715-155,047-775,235-1,705,517-2,015,611-8,527,585-10,078,055-22,171,721-110,858,605

More Examples

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