Q: What are the factor combinations of the number 55,080,091?

 A:
Positive:   1 x 5508009111 x 500728153 x 1039247583 x 94477
Negative: -1 x -55080091-11 x -5007281-53 x -1039247-583 x -94477


How do I find the factor combinations of the number 55,080,091?

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 55,080,091, 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 55,080,091
-1 -55,080,091

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 55,080,091.

Example:
1 x 55,080,091 = 55,080,091
and
-1 x -55,080,091 = 55,080,091
Notice both answers equal 55,080,091

With that explanation out of the way, let's continue. Next, we take the number 55,080,091 and divide it by 2:

55,080,091 ÷ 2 = 27,540,045.5

If the quotient is a whole number, then 2 and 27,540,045.5 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 55,080,091
-1 -55,080,091

Now, we try dividing 55,080,091 by 3:

55,080,091 ÷ 3 = 18,360,030.3333

If the quotient is a whole number, then 3 and 18,360,030.3333 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 55,080,091
-1 -55,080,091

Let's try dividing by 4:

55,080,091 ÷ 4 = 13,770,022.75

If the quotient is a whole number, then 4 and 13,770,022.75 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 55,080,091
-1 55,080,091
Keep dividing by the next highest number until you cannot divide anymore.

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

1115358394,4771,039,2475,007,28155,080,091
-1-11-53-583-94,477-1,039,247-5,007,281-55,080,091

More Examples

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