Q: What are the factor combinations of the number 110,080,783?

 A:
Positive:   1 x 11008078323 x 478612131 x 355099361 x 1804603713 x 1543911403 x 784611891 x 582132531 x 43493
Negative: -1 x -110080783-23 x -4786121-31 x -3550993-61 x -1804603-713 x -154391-1403 x -78461-1891 x -58213-2531 x -43493


How do I find the factor combinations of the number 110,080,783?

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 110,080,783, 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.

1 110,080,783
-1 -110,080,783

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 110,080,783.

Example:
1 x 110,080,783 = 110,080,783
and
-1 x -110,080,783 = 110,080,783
Notice both answers equal 110,080,783

With that explanation out of the way, let's continue. Next, we take the number 110,080,783 and divide it by 2:

110,080,783 ÷ 2 = 55,040,391.5

If the quotient is a whole number, then 2 and 55,040,391.5 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:

1 110,080,783
-1 -110,080,783

Now, we try dividing 110,080,783 by 3:

110,080,783 ÷ 3 = 36,693,594.3333

If the quotient is a whole number, then 3 and 36,693,594.3333 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:

1 110,080,783
-1 -110,080,783

Let's try dividing by 4:

110,080,783 ÷ 4 = 27,520,195.75

If the quotient is a whole number, then 4 and 27,520,195.75 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:

1 110,080,783
-1 110,080,783
Keep dividing by the next highest number until you cannot divide anymore.

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

12331617131,4031,8912,53143,49358,21378,461154,3911,804,6033,550,9934,786,121110,080,783
-1-23-31-61-713-1,403-1,891-2,531-43,493-58,213-78,461-154,391-1,804,603-3,550,993-4,786,121-110,080,783

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