Q: What are the factor combinations of the number 850,427,287?

 A:
Positive:   1 x 850427287193 x 4406359
Negative: -1 x -850427287-193 x -4406359


How do I find the factor combinations of the number 850,427,287?

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 850,427,287, 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.

1 850,427,287
-1 -850,427,287

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 850,427,287.

Example:
1 x 850,427,287 = 850,427,287
and
-1 x -850,427,287 = 850,427,287
Notice both answers equal 850,427,287

With that explanation out of the way, let's continue. Next, we take the number 850,427,287 and divide it by 2:

850,427,287 ÷ 2 = 425,213,643.5

If the quotient is a whole number, then 2 and 425,213,643.5 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:

1 850,427,287
-1 -850,427,287

Now, we try dividing 850,427,287 by 3:

850,427,287 ÷ 3 = 283,475,762.3333

If the quotient is a whole number, then 3 and 283,475,762.3333 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:

1 850,427,287
-1 -850,427,287

Let's try dividing by 4:

850,427,287 ÷ 4 = 212,606,821.75

If the quotient is a whole number, then 4 and 212,606,821.75 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:

1 850,427,287
-1 850,427,287
Keep dividing by the next highest number until you cannot divide anymore.

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

11934,406,359850,427,287
-1-193-4,406,359-850,427,287

More Examples

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