Q: What are the factor combinations of the number 122,507,333?

 A:
Positive:   1 x 12250733313 x 942364137 x 331100947 x 2606539481 x 254693611 x 2005031739 x 704475419 x 22607
Negative: -1 x -122507333-13 x -9423641-37 x -3311009-47 x -2606539-481 x -254693-611 x -200503-1739 x -70447-5419 x -22607


How do I find the factor combinations of the number 122,507,333?

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 122,507,333, 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.

1 122,507,333
-1 -122,507,333

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 122,507,333.

Example:
1 x 122,507,333 = 122,507,333
and
-1 x -122,507,333 = 122,507,333
Notice both answers equal 122,507,333

With that explanation out of the way, let's continue. Next, we take the number 122,507,333 and divide it by 2:

122,507,333 ÷ 2 = 61,253,666.5

If the quotient is a whole number, then 2 and 61,253,666.5 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:

1 122,507,333
-1 -122,507,333

Now, we try dividing 122,507,333 by 3:

122,507,333 ÷ 3 = 40,835,777.6667

If the quotient is a whole number, then 3 and 40,835,777.6667 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:

1 122,507,333
-1 -122,507,333

Let's try dividing by 4:

122,507,333 ÷ 4 = 30,626,833.25

If the quotient is a whole number, then 4 and 30,626,833.25 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:

1 122,507,333
-1 122,507,333
Keep dividing by the next highest number until you cannot divide anymore.

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

11337474816111,7395,41922,60770,447200,503254,6932,606,5393,311,0099,423,641122,507,333
-1-13-37-47-481-611-1,739-5,419-22,607-70,447-200,503-254,693-2,606,539-3,311,009-9,423,641-122,507,333

More Examples

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