Q: What are the factor combinations of the number 77,708,872?

 A:
Positive:   1 x 777088722 x 388544364 x 194272188 x 97136091667 x 466163334 x 233085827 x 133366668 x 11654
Negative: -1 x -77708872-2 x -38854436-4 x -19427218-8 x -9713609-1667 x -46616-3334 x -23308-5827 x -13336-6668 x -11654


How do I find the factor combinations of the number 77,708,872?

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 77,708,872, 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 77,708,872
-1 -77,708,872

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 77,708,872.

Example:
1 x 77,708,872 = 77,708,872
and
-1 x -77,708,872 = 77,708,872
Notice both answers equal 77,708,872

With that explanation out of the way, let's continue. Next, we take the number 77,708,872 and divide it by 2:

77,708,872 ÷ 2 = 38,854,436

If the quotient is a whole number, then 2 and 38,854,436 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 38,854,436 77,708,872
-1 -2 -38,854,436 -77,708,872

Now, we try dividing 77,708,872 by 3:

77,708,872 ÷ 3 = 25,902,957.3333

If the quotient is a whole number, then 3 and 25,902,957.3333 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 2 38,854,436 77,708,872
-1 -2 -38,854,436 -77,708,872

Let's try dividing by 4:

77,708,872 ÷ 4 = 19,427,218

If the quotient is a whole number, then 4 and 19,427,218 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 4 19,427,218 38,854,436 77,708,872
-1 -2 -4 -19,427,218 -38,854,436 77,708,872
Keep dividing by the next highest number until you cannot divide anymore.

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

12481,6673,3345,8276,66811,65413,33623,30846,6169,713,60919,427,21838,854,43677,708,872
-1-2-4-8-1,667-3,334-5,827-6,668-11,654-13,336-23,308-46,616-9,713,609-19,427,218-38,854,436-77,708,872

More Examples

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