Q: What are the factor combinations of the number 856,462,717?

 A:
Positive:   1 x 85646271711 x 7786024737 x 2314764147 x 18222611407 x 2104331517 x 16566011739 x 49250319129 x 44773
Negative: -1 x -856462717-11 x -77860247-37 x -23147641-47 x -18222611-407 x -2104331-517 x -1656601-1739 x -492503-19129 x -44773


How do I find the factor combinations of the number 856,462,717?

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 856,462,717, 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.

1 856,462,717
-1 -856,462,717

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 856,462,717.

Example:
1 x 856,462,717 = 856,462,717
and
-1 x -856,462,717 = 856,462,717
Notice both answers equal 856,462,717

With that explanation out of the way, let's continue. Next, we take the number 856,462,717 and divide it by 2:

856,462,717 ÷ 2 = 428,231,358.5

If the quotient is a whole number, then 2 and 428,231,358.5 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:

1 856,462,717
-1 -856,462,717

Now, we try dividing 856,462,717 by 3:

856,462,717 ÷ 3 = 285,487,572.3333

If the quotient is a whole number, then 3 and 285,487,572.3333 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:

1 856,462,717
-1 -856,462,717

Let's try dividing by 4:

856,462,717 ÷ 4 = 214,115,679.25

If the quotient is a whole number, then 4 and 214,115,679.25 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:

1 856,462,717
-1 856,462,717
Keep dividing by the next highest number until you cannot divide anymore.

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

11137474075171,73919,12944,773492,5031,656,6012,104,33118,222,61123,147,64177,860,247856,462,717
-1-11-37-47-407-517-1,739-19,129-44,773-492,503-1,656,601-2,104,331-18,222,611-23,147,641-77,860,247-856,462,717

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