Q: What are the factor combinations of the number 55,414,475?

 A:
Positive:   1 x 554144755 x 1108289517 x 325967523 x 240932525 x 221657985 x 651935115 x 481865391 x 141725425 x 130387575 x 963731955 x 283455669 x 9775
Negative: -1 x -55414475-5 x -11082895-17 x -3259675-23 x -2409325-25 x -2216579-85 x -651935-115 x -481865-391 x -141725-425 x -130387-575 x -96373-1955 x -28345-5669 x -9775


How do I find the factor combinations of the number 55,414,475?

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 55,414,475, 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 55,414,475
-1 -55,414,475

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 55,414,475.

Example:
1 x 55,414,475 = 55,414,475
and
-1 x -55,414,475 = 55,414,475
Notice both answers equal 55,414,475

With that explanation out of the way, let's continue. Next, we take the number 55,414,475 and divide it by 2:

55,414,475 ÷ 2 = 27,707,237.5

If the quotient is a whole number, then 2 and 27,707,237.5 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 55,414,475
-1 -55,414,475

Now, we try dividing 55,414,475 by 3:

55,414,475 ÷ 3 = 18,471,491.6667

If the quotient is a whole number, then 3 and 18,471,491.6667 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 55,414,475
-1 -55,414,475

Let's try dividing by 4:

55,414,475 ÷ 4 = 13,853,618.75

If the quotient is a whole number, then 4 and 13,853,618.75 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 55,414,475
-1 55,414,475
Keep dividing by the next highest number until you cannot divide anymore.

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

15172325851153914255751,9555,6699,77528,34596,373130,387141,725481,865651,9352,216,5792,409,3253,259,67511,082,89555,414,475
-1-5-17-23-25-85-115-391-425-575-1,955-5,669-9,775-28,345-96,373-130,387-141,725-481,865-651,935-2,216,579-2,409,325-3,259,675-11,082,895-55,414,475

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