Q: What are the factor combinations of the number 851,375?

 A:
Positive:   1 x 8513755 x 1702757 x 12162525 x 3405535 x 2432549 x 17375125 x 6811139 x 6125175 x 4865245 x 3475695 x 1225875 x 973
Negative: -1 x -851375-5 x -170275-7 x -121625-25 x -34055-35 x -24325-49 x -17375-125 x -6811-139 x -6125-175 x -4865-245 x -3475-695 x -1225-875 x -973


How do I find the factor combinations of the number 851,375?

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 851,375, 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.

1 851,375
-1 -851,375

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 851,375.

Example:
1 x 851,375 = 851,375
and
-1 x -851,375 = 851,375
Notice both answers equal 851,375

With that explanation out of the way, let's continue. Next, we take the number 851,375 and divide it by 2:

851,375 ÷ 2 = 425,687.5

If the quotient is a whole number, then 2 and 425,687.5 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:

1 851,375
-1 -851,375

Now, we try dividing 851,375 by 3:

851,375 ÷ 3 = 283,791.6667

If the quotient is a whole number, then 3 and 283,791.6667 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:

1 851,375
-1 -851,375

Let's try dividing by 4:

851,375 ÷ 4 = 212,843.75

If the quotient is a whole number, then 4 and 212,843.75 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:

1 851,375
-1 851,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491251391752456958759731,2253,4754,8656,1256,81117,37524,32534,055121,625170,275851,375
-1-5-7-25-35-49-125-139-175-245-695-875-973-1,225-3,475-4,865-6,125-6,811-17,375-24,325-34,055-121,625-170,275-851,375

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