Q: What are the factor combinations of the number 850,283?

 A:
Positive:   1 x 8502837 x 121469
Negative: -1 x -850283-7 x -121469


How do I find the factor combinations of the number 850,283?

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 850,283, 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.

1 850,283
-1 -850,283

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 850,283.

Example:
1 x 850,283 = 850,283
and
-1 x -850,283 = 850,283
Notice both answers equal 850,283

With that explanation out of the way, let's continue. Next, we take the number 850,283 and divide it by 2:

850,283 ÷ 2 = 425,141.5

If the quotient is a whole number, then 2 and 425,141.5 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:

1 850,283
-1 -850,283

Now, we try dividing 850,283 by 3:

850,283 ÷ 3 = 283,427.6667

If the quotient is a whole number, then 3 and 283,427.6667 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:

1 850,283
-1 -850,283

Let's try dividing by 4:

850,283 ÷ 4 = 212,570.75

If the quotient is a whole number, then 4 and 212,570.75 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:

1 850,283
-1 850,283
Keep dividing by the next highest number until you cannot divide anymore.

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

17121,469850,283
-1-7-121,469-850,283

More Examples

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