Q: What are the factor combinations of the number 642,682,235?

 A:
Positive:   1 x 6426822355 x 12853644713 x 4943709531 x 2073168565 x 9887419155 x 4146337403 x 15947452015 x 318949
Negative: -1 x -642682235-5 x -128536447-13 x -49437095-31 x -20731685-65 x -9887419-155 x -4146337-403 x -1594745-2015 x -318949


How do I find the factor combinations of the number 642,682,235?

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 642,682,235, 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.

1 642,682,235
-1 -642,682,235

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 642,682,235.

Example:
1 x 642,682,235 = 642,682,235
and
-1 x -642,682,235 = 642,682,235
Notice both answers equal 642,682,235

With that explanation out of the way, let's continue. Next, we take the number 642,682,235 and divide it by 2:

642,682,235 ÷ 2 = 321,341,117.5

If the quotient is a whole number, then 2 and 321,341,117.5 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:

1 642,682,235
-1 -642,682,235

Now, we try dividing 642,682,235 by 3:

642,682,235 ÷ 3 = 214,227,411.6667

If the quotient is a whole number, then 3 and 214,227,411.6667 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:

1 642,682,235
-1 -642,682,235

Let's try dividing by 4:

642,682,235 ÷ 4 = 160,670,558.75

If the quotient is a whole number, then 4 and 160,670,558.75 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:

1 642,682,235
-1 642,682,235
Keep dividing by the next highest number until you cannot divide anymore.

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

151331651554032,015318,9491,594,7454,146,3379,887,41920,731,68549,437,095128,536,447642,682,235
-1-5-13-31-65-155-403-2,015-318,949-1,594,745-4,146,337-9,887,419-20,731,685-49,437,095-128,536,447-642,682,235

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