Q: What are the factor combinations of the number 881,155?

 A:
Positive:   1 x 8811555 x 17623111 x 8010537 x 2381555 x 16021185 x 4763407 x 2165433 x 2035
Negative: -1 x -881155-5 x -176231-11 x -80105-37 x -23815-55 x -16021-185 x -4763-407 x -2165-433 x -2035


How do I find the factor combinations of the number 881,155?

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 881,155, 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.

1 881,155
-1 -881,155

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 881,155.

Example:
1 x 881,155 = 881,155
and
-1 x -881,155 = 881,155
Notice both answers equal 881,155

With that explanation out of the way, let's continue. Next, we take the number 881,155 and divide it by 2:

881,155 ÷ 2 = 440,577.5

If the quotient is a whole number, then 2 and 440,577.5 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:

1 881,155
-1 -881,155

Now, we try dividing 881,155 by 3:

881,155 ÷ 3 = 293,718.3333

If the quotient is a whole number, then 3 and 293,718.3333 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:

1 881,155
-1 -881,155

Let's try dividing by 4:

881,155 ÷ 4 = 220,288.75

If the quotient is a whole number, then 4 and 220,288.75 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:

1 881,155
-1 881,155
Keep dividing by the next highest number until you cannot divide anymore.

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

151137551854074332,0352,1654,76316,02123,81580,105176,231881,155
-1-5-11-37-55-185-407-433-2,035-2,165-4,763-16,021-23,815-80,105-176,231-881,155

More Examples

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