Q: What are the factor combinations of the number 788,770,763?

 A:
Positive:   1 x 78877076311 x 7170643323 x 34294381251 x 3142513253 x 31176712761 x 2856835773 x 13663112421 x 63503
Negative: -1 x -788770763-11 x -71706433-23 x -34294381-251 x -3142513-253 x -3117671-2761 x -285683-5773 x -136631-12421 x -63503


How do I find the factor combinations of the number 788,770,763?

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 788,770,763, 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.

1 788,770,763
-1 -788,770,763

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 788,770,763.

Example:
1 x 788,770,763 = 788,770,763
and
-1 x -788,770,763 = 788,770,763
Notice both answers equal 788,770,763

With that explanation out of the way, let's continue. Next, we take the number 788,770,763 and divide it by 2:

788,770,763 ÷ 2 = 394,385,381.5

If the quotient is a whole number, then 2 and 394,385,381.5 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:

1 788,770,763
-1 -788,770,763

Now, we try dividing 788,770,763 by 3:

788,770,763 ÷ 3 = 262,923,587.6667

If the quotient is a whole number, then 3 and 262,923,587.6667 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:

1 788,770,763
-1 -788,770,763

Let's try dividing by 4:

788,770,763 ÷ 4 = 197,192,690.75

If the quotient is a whole number, then 4 and 197,192,690.75 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:

1 788,770,763
-1 788,770,763
Keep dividing by the next highest number until you cannot divide anymore.

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

111232512532,7615,77312,42163,503136,631285,6833,117,6713,142,51334,294,38171,706,433788,770,763
-1-11-23-251-253-2,761-5,773-12,421-63,503-136,631-285,683-3,117,671-3,142,513-34,294,381-71,706,433-788,770,763

More Examples

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