Q: What are the factor combinations of the number 55,736,887?

 A:
Positive:   1 x 5573688759 x 94469373 x 7635194307 x 12941
Negative: -1 x -55736887-59 x -944693-73 x -763519-4307 x -12941


How do I find the factor combinations of the number 55,736,887?

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 55,736,887, 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 55,736,887
-1 -55,736,887

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 55,736,887.

Example:
1 x 55,736,887 = 55,736,887
and
-1 x -55,736,887 = 55,736,887
Notice both answers equal 55,736,887

With that explanation out of the way, let's continue. Next, we take the number 55,736,887 and divide it by 2:

55,736,887 ÷ 2 = 27,868,443.5

If the quotient is a whole number, then 2 and 27,868,443.5 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 55,736,887
-1 -55,736,887

Now, we try dividing 55,736,887 by 3:

55,736,887 ÷ 3 = 18,578,962.3333

If the quotient is a whole number, then 3 and 18,578,962.3333 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 55,736,887
-1 -55,736,887

Let's try dividing by 4:

55,736,887 ÷ 4 = 13,934,221.75

If the quotient is a whole number, then 4 and 13,934,221.75 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 55,736,887
-1 55,736,887
Keep dividing by the next highest number until you cannot divide anymore.

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

159734,30712,941763,519944,69355,736,887
-1-59-73-4,307-12,941-763,519-944,693-55,736,887

More Examples

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