Q: What are the factor combinations of the number 82,775?

 A:
Positive:   1 x 827755 x 165557 x 1182511 x 752525 x 331135 x 236543 x 192555 x 150577 x 1075175 x 473215 x 385275 x 301
Negative: -1 x -82775-5 x -16555-7 x -11825-11 x -7525-25 x -3311-35 x -2365-43 x -1925-55 x -1505-77 x -1075-175 x -473-215 x -385-275 x -301


How do I find the factor combinations of the number 82,775?

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 82,775, 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 82,775
-1 -82,775

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 82,775.

Example:
1 x 82,775 = 82,775
and
-1 x -82,775 = 82,775
Notice both answers equal 82,775

With that explanation out of the way, let's continue. Next, we take the number 82,775 and divide it by 2:

82,775 ÷ 2 = 41,387.5

If the quotient is a whole number, then 2 and 41,387.5 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 82,775
-1 -82,775

Now, we try dividing 82,775 by 3:

82,775 ÷ 3 = 27,591.6667

If the quotient is a whole number, then 3 and 27,591.6667 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 82,775
-1 -82,775

Let's try dividing by 4:

82,775 ÷ 4 = 20,693.75

If the quotient is a whole number, then 4 and 20,693.75 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 82,775
-1 82,775
Keep dividing by the next highest number until you cannot divide anymore.

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

1571125354355771752152753013854731,0751,5051,9252,3653,3117,52511,82516,55582,775
-1-5-7-11-25-35-43-55-77-175-215-275-301-385-473-1,075-1,505-1,925-2,365-3,311-7,525-11,825-16,555-82,775

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