Q: What are the factor combinations of the number 110,220,121?

 A:
Positive:   1 x 11022012111 x 1002001119 x 5801059197 x 559493209 x 5273692167 x 508632677 x 411733743 x 29447
Negative: -1 x -110220121-11 x -10020011-19 x -5801059-197 x -559493-209 x -527369-2167 x -50863-2677 x -41173-3743 x -29447


How do I find the factor combinations of the number 110,220,121?

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 110,220,121, 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.

1 110,220,121
-1 -110,220,121

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 110,220,121.

Example:
1 x 110,220,121 = 110,220,121
and
-1 x -110,220,121 = 110,220,121
Notice both answers equal 110,220,121

With that explanation out of the way, let's continue. Next, we take the number 110,220,121 and divide it by 2:

110,220,121 ÷ 2 = 55,110,060.5

If the quotient is a whole number, then 2 and 55,110,060.5 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:

1 110,220,121
-1 -110,220,121

Now, we try dividing 110,220,121 by 3:

110,220,121 ÷ 3 = 36,740,040.3333

If the quotient is a whole number, then 3 and 36,740,040.3333 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:

1 110,220,121
-1 -110,220,121

Let's try dividing by 4:

110,220,121 ÷ 4 = 27,555,030.25

If the quotient is a whole number, then 4 and 27,555,030.25 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:

1 110,220,121
-1 110,220,121
Keep dividing by the next highest number until you cannot divide anymore.

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

111191972092,1672,6773,74329,44741,17350,863527,369559,4935,801,05910,020,011110,220,121
-1-11-19-197-209-2,167-2,677-3,743-29,447-41,173-50,863-527,369-559,493-5,801,059-10,020,011-110,220,121

More Examples

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