Q: What are the factor combinations of the number 834,395?

 A:
Positive:   1 x 8343955 x 166879109 x 7655545 x 1531
Negative: -1 x -834395-5 x -166879-109 x -7655-545 x -1531


How do I find the factor combinations of the number 834,395?

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 834,395, 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.

1 834,395
-1 -834,395

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 834,395.

Example:
1 x 834,395 = 834,395
and
-1 x -834,395 = 834,395
Notice both answers equal 834,395

With that explanation out of the way, let's continue. Next, we take the number 834,395 and divide it by 2:

834,395 ÷ 2 = 417,197.5

If the quotient is a whole number, then 2 and 417,197.5 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:

1 834,395
-1 -834,395

Now, we try dividing 834,395 by 3:

834,395 ÷ 3 = 278,131.6667

If the quotient is a whole number, then 3 and 278,131.6667 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:

1 834,395
-1 -834,395

Let's try dividing by 4:

834,395 ÷ 4 = 208,598.75

If the quotient is a whole number, then 4 and 208,598.75 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:

1 834,395
-1 834,395
Keep dividing by the next highest number until you cannot divide anymore.

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

151095451,5317,655166,879834,395
-1-5-109-545-1,531-7,655-166,879-834,395

More Examples

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