Q: What are the factor combinations of the number 833,455?

 A:
Positive:   1 x 8334555 x 1666917 x 11906535 x 23813
Negative: -1 x -833455-5 x -166691-7 x -119065-35 x -23813


How do I find the factor combinations of the number 833,455?

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 833,455, 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.

1 833,455
-1 -833,455

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 833,455.

Example:
1 x 833,455 = 833,455
and
-1 x -833,455 = 833,455
Notice both answers equal 833,455

With that explanation out of the way, let's continue. Next, we take the number 833,455 and divide it by 2:

833,455 ÷ 2 = 416,727.5

If the quotient is a whole number, then 2 and 416,727.5 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:

1 833,455
-1 -833,455

Now, we try dividing 833,455 by 3:

833,455 ÷ 3 = 277,818.3333

If the quotient is a whole number, then 3 and 277,818.3333 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:

1 833,455
-1 -833,455

Let's try dividing by 4:

833,455 ÷ 4 = 208,363.75

If the quotient is a whole number, then 4 and 208,363.75 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:

1 833,455
-1 833,455
Keep dividing by the next highest number until you cannot divide anymore.

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

1573523,813119,065166,691833,455
-1-5-7-35-23,813-119,065-166,691-833,455

More Examples

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