Q: What are the factor combinations of the number 878,275?

 A:
Positive:   1 x 8782755 x 17565519 x 4622525 x 3513143 x 2042595 x 9245215 x 4085475 x 1849817 x 1075
Negative: -1 x -878275-5 x -175655-19 x -46225-25 x -35131-43 x -20425-95 x -9245-215 x -4085-475 x -1849-817 x -1075


How do I find the factor combinations of the number 878,275?

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 878,275, 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.

1 878,275
-1 -878,275

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 878,275.

Example:
1 x 878,275 = 878,275
and
-1 x -878,275 = 878,275
Notice both answers equal 878,275

With that explanation out of the way, let's continue. Next, we take the number 878,275 and divide it by 2:

878,275 ÷ 2 = 439,137.5

If the quotient is a whole number, then 2 and 439,137.5 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:

1 878,275
-1 -878,275

Now, we try dividing 878,275 by 3:

878,275 ÷ 3 = 292,758.3333

If the quotient is a whole number, then 3 and 292,758.3333 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:

1 878,275
-1 -878,275

Let's try dividing by 4:

878,275 ÷ 4 = 219,568.75

If the quotient is a whole number, then 4 and 219,568.75 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:

1 878,275
-1 878,275
Keep dividing by the next highest number until you cannot divide anymore.

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

15192543952154758171,0751,8494,0859,24520,42535,13146,225175,655878,275
-1-5-19-25-43-95-215-475-817-1,075-1,849-4,085-9,245-20,425-35,131-46,225-175,655-878,275

More Examples

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