Q: What are the factor combinations of the number 736,655,255?

 A:
Positive:   1 x 7366552555 x 1473310517 x 10523646535 x 21047293149 x 4943995745 x 9887991043 x 7062855215 x 141257
Negative: -1 x -736655255-5 x -147331051-7 x -105236465-35 x -21047293-149 x -4943995-745 x -988799-1043 x -706285-5215 x -141257


How do I find the factor combinations of the number 736,655,255?

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 736,655,255, 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.

1 736,655,255
-1 -736,655,255

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 736,655,255.

Example:
1 x 736,655,255 = 736,655,255
and
-1 x -736,655,255 = 736,655,255
Notice both answers equal 736,655,255

With that explanation out of the way, let's continue. Next, we take the number 736,655,255 and divide it by 2:

736,655,255 ÷ 2 = 368,327,627.5

If the quotient is a whole number, then 2 and 368,327,627.5 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:

1 736,655,255
-1 -736,655,255

Now, we try dividing 736,655,255 by 3:

736,655,255 ÷ 3 = 245,551,751.6667

If the quotient is a whole number, then 3 and 245,551,751.6667 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:

1 736,655,255
-1 -736,655,255

Let's try dividing by 4:

736,655,255 ÷ 4 = 184,163,813.75

If the quotient is a whole number, then 4 and 184,163,813.75 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:

1 736,655,255
-1 736,655,255
Keep dividing by the next highest number until you cannot divide anymore.

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

157351497451,0435,215141,257706,285988,7994,943,99521,047,293105,236,465147,331,051736,655,255
-1-5-7-35-149-745-1,043-5,215-141,257-706,285-988,799-4,943,995-21,047,293-105,236,465-147,331,051-736,655,255

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