Q: What are the factor combinations of the number 787,246,655?

 A:
Positive:   1 x 7872466555 x 15744933113 x 6055743565 x 12111487139 x 5663645695 x 11327291807 x 4356659035 x 87133
Negative: -1 x -787246655-5 x -157449331-13 x -60557435-65 x -12111487-139 x -5663645-695 x -1132729-1807 x -435665-9035 x -87133


How do I find the factor combinations of the number 787,246,655?

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 787,246,655, 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.

1 787,246,655
-1 -787,246,655

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 787,246,655.

Example:
1 x 787,246,655 = 787,246,655
and
-1 x -787,246,655 = 787,246,655
Notice both answers equal 787,246,655

With that explanation out of the way, let's continue. Next, we take the number 787,246,655 and divide it by 2:

787,246,655 ÷ 2 = 393,623,327.5

If the quotient is a whole number, then 2 and 393,623,327.5 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:

1 787,246,655
-1 -787,246,655

Now, we try dividing 787,246,655 by 3:

787,246,655 ÷ 3 = 262,415,551.6667

If the quotient is a whole number, then 3 and 262,415,551.6667 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:

1 787,246,655
-1 -787,246,655

Let's try dividing by 4:

787,246,655 ÷ 4 = 196,811,663.75

If the quotient is a whole number, then 4 and 196,811,663.75 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:

1 787,246,655
-1 787,246,655
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651396951,8079,03587,133435,6651,132,7295,663,64512,111,48760,557,435157,449,331787,246,655
-1-5-13-65-139-695-1,807-9,035-87,133-435,665-1,132,729-5,663,645-12,111,487-60,557,435-157,449,331-787,246,655

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