Q: What are the factor combinations of the number 856,560,833?

 A:
Positive:   1 x 8565608331367 x 626599
Negative: -1 x -856560833-1367 x -626599


How do I find the factor combinations of the number 856,560,833?

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 856,560,833, 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.

1 856,560,833
-1 -856,560,833

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 856,560,833.

Example:
1 x 856,560,833 = 856,560,833
and
-1 x -856,560,833 = 856,560,833
Notice both answers equal 856,560,833

With that explanation out of the way, let's continue. Next, we take the number 856,560,833 and divide it by 2:

856,560,833 ÷ 2 = 428,280,416.5

If the quotient is a whole number, then 2 and 428,280,416.5 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:

1 856,560,833
-1 -856,560,833

Now, we try dividing 856,560,833 by 3:

856,560,833 ÷ 3 = 285,520,277.6667

If the quotient is a whole number, then 3 and 285,520,277.6667 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:

1 856,560,833
-1 -856,560,833

Let's try dividing by 4:

856,560,833 ÷ 4 = 214,140,208.25

If the quotient is a whole number, then 4 and 214,140,208.25 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:

1 856,560,833
-1 856,560,833
Keep dividing by the next highest number until you cannot divide anymore.

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

11,367626,599856,560,833
-1-1,367-626,599-856,560,833

More Examples

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