Q: What are the factor combinations of the number 762,374,375?

 A:
Positive:   1 x 7623743755 x 1524748757 x 10891062525 x 3049497535 x 21782125125 x 6098995175 x 4356425625 x 1219799875 x 8712854375 x 174257
Negative: -1 x -762374375-5 x -152474875-7 x -108910625-25 x -30494975-35 x -21782125-125 x -6098995-175 x -4356425-625 x -1219799-875 x -871285-4375 x -174257


How do I find the factor combinations of the number 762,374,375?

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 762,374,375, 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.

1 762,374,375
-1 -762,374,375

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 762,374,375.

Example:
1 x 762,374,375 = 762,374,375
and
-1 x -762,374,375 = 762,374,375
Notice both answers equal 762,374,375

With that explanation out of the way, let's continue. Next, we take the number 762,374,375 and divide it by 2:

762,374,375 ÷ 2 = 381,187,187.5

If the quotient is a whole number, then 2 and 381,187,187.5 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:

1 762,374,375
-1 -762,374,375

Now, we try dividing 762,374,375 by 3:

762,374,375 ÷ 3 = 254,124,791.6667

If the quotient is a whole number, then 3 and 254,124,791.6667 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:

1 762,374,375
-1 -762,374,375

Let's try dividing by 4:

762,374,375 ÷ 4 = 190,593,593.75

If the quotient is a whole number, then 4 and 190,593,593.75 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:

1 762,374,375
-1 762,374,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351251756258754,375174,257871,2851,219,7994,356,4256,098,99521,782,12530,494,975108,910,625152,474,875762,374,375
-1-5-7-25-35-125-175-625-875-4,375-174,257-871,285-1,219,799-4,356,425-6,098,995-21,782,125-30,494,975-108,910,625-152,474,875-762,374,375

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