Q: What are the factor combinations of the number 845,620,465?

 A:
Positive:   1 x 8456204655 x 169124093107 x 7902995535 x 15805991103 x 7666551433 x 5901055515 x 1533317165 x 118021
Negative: -1 x -845620465-5 x -169124093-107 x -7902995-535 x -1580599-1103 x -766655-1433 x -590105-5515 x -153331-7165 x -118021


How do I find the factor combinations of the number 845,620,465?

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 845,620,465, 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.

1 845,620,465
-1 -845,620,465

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 845,620,465.

Example:
1 x 845,620,465 = 845,620,465
and
-1 x -845,620,465 = 845,620,465
Notice both answers equal 845,620,465

With that explanation out of the way, let's continue. Next, we take the number 845,620,465 and divide it by 2:

845,620,465 ÷ 2 = 422,810,232.5

If the quotient is a whole number, then 2 and 422,810,232.5 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:

1 845,620,465
-1 -845,620,465

Now, we try dividing 845,620,465 by 3:

845,620,465 ÷ 3 = 281,873,488.3333

If the quotient is a whole number, then 3 and 281,873,488.3333 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:

1 845,620,465
-1 -845,620,465

Let's try dividing by 4:

845,620,465 ÷ 4 = 211,405,116.25

If the quotient is a whole number, then 4 and 211,405,116.25 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:

1 845,620,465
-1 845,620,465
Keep dividing by the next highest number until you cannot divide anymore.

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

151075351,1031,4335,5157,165118,021153,331590,105766,6551,580,5997,902,995169,124,093845,620,465
-1-5-107-535-1,103-1,433-5,515-7,165-118,021-153,331-590,105-766,655-1,580,599-7,902,995-169,124,093-845,620,465

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