Q: What are the factor combinations of the number 135,220,055?

 A:
Positive:   1 x 1352200555 x 2704401119 x 711684595 x 1423369
Negative: -1 x -135220055-5 x -27044011-19 x -7116845-95 x -1423369


How do I find the factor combinations of the number 135,220,055?

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 135,220,055, 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.

1 135,220,055
-1 -135,220,055

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 135,220,055.

Example:
1 x 135,220,055 = 135,220,055
and
-1 x -135,220,055 = 135,220,055
Notice both answers equal 135,220,055

With that explanation out of the way, let's continue. Next, we take the number 135,220,055 and divide it by 2:

135,220,055 ÷ 2 = 67,610,027.5

If the quotient is a whole number, then 2 and 67,610,027.5 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:

1 135,220,055
-1 -135,220,055

Now, we try dividing 135,220,055 by 3:

135,220,055 ÷ 3 = 45,073,351.6667

If the quotient is a whole number, then 3 and 45,073,351.6667 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:

1 135,220,055
-1 -135,220,055

Let's try dividing by 4:

135,220,055 ÷ 4 = 33,805,013.75

If the quotient is a whole number, then 4 and 33,805,013.75 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:

1 135,220,055
-1 135,220,055
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951,423,3697,116,84527,044,011135,220,055
-1-5-19-95-1,423,369-7,116,845-27,044,011-135,220,055

More Examples

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