Q: What are the factor combinations of the number 110,244,203?

 A:
Positive:   1 x 11024420341 x 2688883
Negative: -1 x -110244203-41 x -2688883


How do I find the factor combinations of the number 110,244,203?

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 110,244,203, 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.

1 110,244,203
-1 -110,244,203

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 110,244,203.

Example:
1 x 110,244,203 = 110,244,203
and
-1 x -110,244,203 = 110,244,203
Notice both answers equal 110,244,203

With that explanation out of the way, let's continue. Next, we take the number 110,244,203 and divide it by 2:

110,244,203 ÷ 2 = 55,122,101.5

If the quotient is a whole number, then 2 and 55,122,101.5 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:

1 110,244,203
-1 -110,244,203

Now, we try dividing 110,244,203 by 3:

110,244,203 ÷ 3 = 36,748,067.6667

If the quotient is a whole number, then 3 and 36,748,067.6667 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:

1 110,244,203
-1 -110,244,203

Let's try dividing by 4:

110,244,203 ÷ 4 = 27,561,050.75

If the quotient is a whole number, then 4 and 27,561,050.75 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:

1 110,244,203
-1 110,244,203
Keep dividing by the next highest number until you cannot divide anymore.

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

1412,688,883110,244,203
-1-41-2,688,883-110,244,203

More Examples

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