Q: What are the factor combinations of the number 788,876,777?

 A:
Positive:   1 x 78887677713 x 6068282941 x 19240897533 x 1480069641 x 12306972309 x 3416538333 x 9466926281 x 30017
Negative: -1 x -788876777-13 x -60682829-41 x -19240897-533 x -1480069-641 x -1230697-2309 x -341653-8333 x -94669-26281 x -30017


How do I find the factor combinations of the number 788,876,777?

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 788,876,777, 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.

1 788,876,777
-1 -788,876,777

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 788,876,777.

Example:
1 x 788,876,777 = 788,876,777
and
-1 x -788,876,777 = 788,876,777
Notice both answers equal 788,876,777

With that explanation out of the way, let's continue. Next, we take the number 788,876,777 and divide it by 2:

788,876,777 ÷ 2 = 394,438,388.5

If the quotient is a whole number, then 2 and 394,438,388.5 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:

1 788,876,777
-1 -788,876,777

Now, we try dividing 788,876,777 by 3:

788,876,777 ÷ 3 = 262,958,925.6667

If the quotient is a whole number, then 3 and 262,958,925.6667 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:

1 788,876,777
-1 -788,876,777

Let's try dividing by 4:

788,876,777 ÷ 4 = 197,219,194.25

If the quotient is a whole number, then 4 and 197,219,194.25 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:

1 788,876,777
-1 788,876,777
Keep dividing by the next highest number until you cannot divide anymore.

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

113415336412,3098,33326,28130,01794,669341,6531,230,6971,480,06919,240,89760,682,829788,876,777
-1-13-41-533-641-2,309-8,333-26,281-30,017-94,669-341,653-1,230,697-1,480,069-19,240,897-60,682,829-788,876,777

More Examples

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