Q: What are the factor combinations of the number 55,433,755?

 A:
Positive:   1 x 554337555 x 1108675113 x 426413565 x 852827
Negative: -1 x -55433755-5 x -11086751-13 x -4264135-65 x -852827


How do I find the factor combinations of the number 55,433,755?

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 55,433,755, 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 55,433,755
-1 -55,433,755

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 55,433,755.

Example:
1 x 55,433,755 = 55,433,755
and
-1 x -55,433,755 = 55,433,755
Notice both answers equal 55,433,755

With that explanation out of the way, let's continue. Next, we take the number 55,433,755 and divide it by 2:

55,433,755 ÷ 2 = 27,716,877.5

If the quotient is a whole number, then 2 and 27,716,877.5 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 55,433,755
-1 -55,433,755

Now, we try dividing 55,433,755 by 3:

55,433,755 ÷ 3 = 18,477,918.3333

If the quotient is a whole number, then 3 and 18,477,918.3333 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 55,433,755
-1 -55,433,755

Let's try dividing by 4:

55,433,755 ÷ 4 = 13,858,438.75

If the quotient is a whole number, then 4 and 13,858,438.75 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 55,433,755
-1 55,433,755
Keep dividing by the next highest number until you cannot divide anymore.

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

151365852,8274,264,13511,086,75155,433,755
-1-5-13-65-852,827-4,264,135-11,086,751-55,433,755

More Examples

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