Q: What are the factor combinations of the number 787,364,257?

 A:
Positive:   1 x 78736425731 x 2539884747 x 16752431179 x 43986831457 x 5404013019 x 2608035549 x 1418938413 x 93589
Negative: -1 x -787364257-31 x -25398847-47 x -16752431-179 x -4398683-1457 x -540401-3019 x -260803-5549 x -141893-8413 x -93589


How do I find the factor combinations of the number 787,364,257?

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 787,364,257, 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.

1 787,364,257
-1 -787,364,257

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 787,364,257.

Example:
1 x 787,364,257 = 787,364,257
and
-1 x -787,364,257 = 787,364,257
Notice both answers equal 787,364,257

With that explanation out of the way, let's continue. Next, we take the number 787,364,257 and divide it by 2:

787,364,257 ÷ 2 = 393,682,128.5

If the quotient is a whole number, then 2 and 393,682,128.5 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:

1 787,364,257
-1 -787,364,257

Now, we try dividing 787,364,257 by 3:

787,364,257 ÷ 3 = 262,454,752.3333

If the quotient is a whole number, then 3 and 262,454,752.3333 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:

1 787,364,257
-1 -787,364,257

Let's try dividing by 4:

787,364,257 ÷ 4 = 196,841,064.25

If the quotient is a whole number, then 4 and 196,841,064.25 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:

1 787,364,257
-1 787,364,257
Keep dividing by the next highest number until you cannot divide anymore.

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

131471791,4573,0195,5498,41393,589141,893260,803540,4014,398,68316,752,43125,398,847787,364,257
-1-31-47-179-1,457-3,019-5,549-8,413-93,589-141,893-260,803-540,401-4,398,683-16,752,431-25,398,847-787,364,257

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