Q: What are the factor combinations of the number 800,275?

 A:
Positive:   1 x 8002755 x 1600557 x 11432517 x 4707525 x 3201135 x 2286585 x 9415119 x 6725175 x 4573269 x 2975425 x 1883595 x 1345
Negative: -1 x -800275-5 x -160055-7 x -114325-17 x -47075-25 x -32011-35 x -22865-85 x -9415-119 x -6725-175 x -4573-269 x -2975-425 x -1883-595 x -1345


How do I find the factor combinations of the number 800,275?

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 800,275, 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.

1 800,275
-1 -800,275

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 800,275.

Example:
1 x 800,275 = 800,275
and
-1 x -800,275 = 800,275
Notice both answers equal 800,275

With that explanation out of the way, let's continue. Next, we take the number 800,275 and divide it by 2:

800,275 ÷ 2 = 400,137.5

If the quotient is a whole number, then 2 and 400,137.5 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:

1 800,275
-1 -800,275

Now, we try dividing 800,275 by 3:

800,275 ÷ 3 = 266,758.3333

If the quotient is a whole number, then 3 and 266,758.3333 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:

1 800,275
-1 -800,275

Let's try dividing by 4:

800,275 ÷ 4 = 200,068.75

If the quotient is a whole number, then 4 and 200,068.75 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:

1 800,275
-1 800,275
Keep dividing by the next highest number until you cannot divide anymore.

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

157172535851191752694255951,3451,8832,9754,5736,7259,41522,86532,01147,075114,325160,055800,275
-1-5-7-17-25-35-85-119-175-269-425-595-1,345-1,883-2,975-4,573-6,725-9,415-22,865-32,011-47,075-114,325-160,055-800,275

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