Q: What are the factor combinations of the number 110,023,303?

 A:
Positive:   1 x 11002330313 x 846333117 x 647195929 x 3793907221 x 497843377 x 291839493 x 2231716409 x 17167
Negative: -1 x -110023303-13 x -8463331-17 x -6471959-29 x -3793907-221 x -497843-377 x -291839-493 x -223171-6409 x -17167


How do I find the factor combinations of the number 110,023,303?

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 110,023,303, 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.

1 110,023,303
-1 -110,023,303

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 110,023,303.

Example:
1 x 110,023,303 = 110,023,303
and
-1 x -110,023,303 = 110,023,303
Notice both answers equal 110,023,303

With that explanation out of the way, let's continue. Next, we take the number 110,023,303 and divide it by 2:

110,023,303 ÷ 2 = 55,011,651.5

If the quotient is a whole number, then 2 and 55,011,651.5 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:

1 110,023,303
-1 -110,023,303

Now, we try dividing 110,023,303 by 3:

110,023,303 ÷ 3 = 36,674,434.3333

If the quotient is a whole number, then 3 and 36,674,434.3333 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:

1 110,023,303
-1 -110,023,303

Let's try dividing by 4:

110,023,303 ÷ 4 = 27,505,825.75

If the quotient is a whole number, then 4 and 27,505,825.75 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:

1 110,023,303
-1 110,023,303
Keep dividing by the next highest number until you cannot divide anymore.

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

11317292213774936,40917,167223,171291,839497,8433,793,9076,471,9598,463,331110,023,303
-1-13-17-29-221-377-493-6,409-17,167-223,171-291,839-497,843-3,793,907-6,471,959-8,463,331-110,023,303

More Examples

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