Q: What are the factor combinations of the number 55,432,505?

 A:
Positive:   1 x 554325055 x 1108650147 x 1179415139 x 398795235 x 235883695 x 797591697 x 326656533 x 8485
Negative: -1 x -55432505-5 x -11086501-47 x -1179415-139 x -398795-235 x -235883-695 x -79759-1697 x -32665-6533 x -8485


How do I find the factor combinations of the number 55,432,505?

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 55,432,505, 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 55,432,505
-1 -55,432,505

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 55,432,505.

Example:
1 x 55,432,505 = 55,432,505
and
-1 x -55,432,505 = 55,432,505
Notice both answers equal 55,432,505

With that explanation out of the way, let's continue. Next, we take the number 55,432,505 and divide it by 2:

55,432,505 ÷ 2 = 27,716,252.5

If the quotient is a whole number, then 2 and 27,716,252.5 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 55,432,505
-1 -55,432,505

Now, we try dividing 55,432,505 by 3:

55,432,505 ÷ 3 = 18,477,501.6667

If the quotient is a whole number, then 3 and 18,477,501.6667 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 55,432,505
-1 -55,432,505

Let's try dividing by 4:

55,432,505 ÷ 4 = 13,858,126.25

If the quotient is a whole number, then 4 and 13,858,126.25 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 55,432,505
-1 55,432,505
Keep dividing by the next highest number until you cannot divide anymore.

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

15471392356951,6976,5338,48532,66579,759235,883398,7951,179,41511,086,50155,432,505
-1-5-47-139-235-695-1,697-6,533-8,485-32,665-79,759-235,883-398,795-1,179,415-11,086,501-55,432,505

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