Q: What are the factor combinations of the number 1,802,833?

 A:
Positive:   1 x 180283317 x 106049173 x 10421613 x 2941
Negative: -1 x -1802833-17 x -106049-173 x -10421-613 x -2941


How do I find the factor combinations of the number 1,802,833?

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 1,802,833, 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 1,802,833
-1 -1,802,833

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 1,802,833.

Example:
1 x 1,802,833 = 1,802,833
and
-1 x -1,802,833 = 1,802,833
Notice both answers equal 1,802,833

With that explanation out of the way, let's continue. Next, we take the number 1,802,833 and divide it by 2:

1,802,833 ÷ 2 = 901,416.5

If the quotient is a whole number, then 2 and 901,416.5 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 1,802,833
-1 -1,802,833

Now, we try dividing 1,802,833 by 3:

1,802,833 ÷ 3 = 600,944.3333

If the quotient is a whole number, then 3 and 600,944.3333 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 1,802,833
-1 -1,802,833

Let's try dividing by 4:

1,802,833 ÷ 4 = 450,708.25

If the quotient is a whole number, then 4 and 450,708.25 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 1,802,833
-1 1,802,833
Keep dividing by the next highest number until you cannot divide anymore.

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

1171736132,94110,421106,0491,802,833
-1-17-173-613-2,941-10,421-106,049-1,802,833

More Examples

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