Q: What are the factor combinations of the number 110,237,023?

 A:
Positive:   1 x 11023702313 x 847977131 x 355603337 x 2979379403 x 273541481 x 2291831147 x 961097393 x 14911
Negative: -1 x -110237023-13 x -8479771-31 x -3556033-37 x -2979379-403 x -273541-481 x -229183-1147 x -96109-7393 x -14911


How do I find the factor combinations of the number 110,237,023?

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 110,237,023, 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.

1 110,237,023
-1 -110,237,023

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 110,237,023.

Example:
1 x 110,237,023 = 110,237,023
and
-1 x -110,237,023 = 110,237,023
Notice both answers equal 110,237,023

With that explanation out of the way, let's continue. Next, we take the number 110,237,023 and divide it by 2:

110,237,023 ÷ 2 = 55,118,511.5

If the quotient is a whole number, then 2 and 55,118,511.5 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:

1 110,237,023
-1 -110,237,023

Now, we try dividing 110,237,023 by 3:

110,237,023 ÷ 3 = 36,745,674.3333

If the quotient is a whole number, then 3 and 36,745,674.3333 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:

1 110,237,023
-1 -110,237,023

Let's try dividing by 4:

110,237,023 ÷ 4 = 27,559,255.75

If the quotient is a whole number, then 4 and 27,559,255.75 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:

1 110,237,023
-1 110,237,023
Keep dividing by the next highest number until you cannot divide anymore.

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

11331374034811,1477,39314,91196,109229,183273,5412,979,3793,556,0338,479,771110,237,023
-1-13-31-37-403-481-1,147-7,393-14,911-96,109-229,183-273,541-2,979,379-3,556,033-8,479,771-110,237,023

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