Q: What are the factor combinations of the number 767,850,377?

 A:
Positive:   1 x 7678503777 x 10969291123 x 3338479931 x 24769367161 x 4769257217 x 3538481529 x 1451513713 x 10769293703 x 2073594991 x 1538476689 x 11479316399 x 46823
Negative: -1 x -767850377-7 x -109692911-23 x -33384799-31 x -24769367-161 x -4769257-217 x -3538481-529 x -1451513-713 x -1076929-3703 x -207359-4991 x -153847-6689 x -114793-16399 x -46823


How do I find the factor combinations of the number 767,850,377?

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 767,850,377, 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.

1 767,850,377
-1 -767,850,377

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 767,850,377.

Example:
1 x 767,850,377 = 767,850,377
and
-1 x -767,850,377 = 767,850,377
Notice both answers equal 767,850,377

With that explanation out of the way, let's continue. Next, we take the number 767,850,377 and divide it by 2:

767,850,377 ÷ 2 = 383,925,188.5

If the quotient is a whole number, then 2 and 383,925,188.5 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:

1 767,850,377
-1 -767,850,377

Now, we try dividing 767,850,377 by 3:

767,850,377 ÷ 3 = 255,950,125.6667

If the quotient is a whole number, then 3 and 255,950,125.6667 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:

1 767,850,377
-1 -767,850,377

Let's try dividing by 4:

767,850,377 ÷ 4 = 191,962,594.25

If the quotient is a whole number, then 4 and 191,962,594.25 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:

1 767,850,377
-1 767,850,377
Keep dividing by the next highest number until you cannot divide anymore.

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

1723311612175297133,7034,9916,68916,39946,823114,793153,847207,3591,076,9291,451,5133,538,4814,769,25724,769,36733,384,799109,692,911767,850,377
-1-7-23-31-161-217-529-713-3,703-4,991-6,689-16,399-46,823-114,793-153,847-207,359-1,076,929-1,451,513-3,538,481-4,769,257-24,769,367-33,384,799-109,692,911-767,850,377

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