Q: What are the factor combinations of the number 123,333,145?

 A:
Positive:   1 x 1233331455 x 2466662913 x 948716565 x 1897433571 x 2159952855 x 431993323 x 371157423 x 16615
Negative: -1 x -123333145-5 x -24666629-13 x -9487165-65 x -1897433-571 x -215995-2855 x -43199-3323 x -37115-7423 x -16615


How do I find the factor combinations of the number 123,333,145?

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 123,333,145, 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.

1 123,333,145
-1 -123,333,145

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 123,333,145.

Example:
1 x 123,333,145 = 123,333,145
and
-1 x -123,333,145 = 123,333,145
Notice both answers equal 123,333,145

With that explanation out of the way, let's continue. Next, we take the number 123,333,145 and divide it by 2:

123,333,145 ÷ 2 = 61,666,572.5

If the quotient is a whole number, then 2 and 61,666,572.5 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:

1 123,333,145
-1 -123,333,145

Now, we try dividing 123,333,145 by 3:

123,333,145 ÷ 3 = 41,111,048.3333

If the quotient is a whole number, then 3 and 41,111,048.3333 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:

1 123,333,145
-1 -123,333,145

Let's try dividing by 4:

123,333,145 ÷ 4 = 30,833,286.25

If the quotient is a whole number, then 4 and 30,833,286.25 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:

1 123,333,145
-1 123,333,145
Keep dividing by the next highest number until you cannot divide anymore.

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

1513655712,8553,3237,42316,61537,11543,199215,9951,897,4339,487,16524,666,629123,333,145
-1-5-13-65-571-2,855-3,323-7,423-16,615-37,115-43,199-215,995-1,897,433-9,487,165-24,666,629-123,333,145

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 123,333,145:


Ask a Question