Q: What are the factor combinations of the number 303,738,437?

 A:
Positive:   1 x 30373843723 x 13206019149 x 2038513263 x 1154899337 x 9013013427 x 886316049 x 502137751 x 39187
Negative: -1 x -303738437-23 x -13206019-149 x -2038513-263 x -1154899-337 x -901301-3427 x -88631-6049 x -50213-7751 x -39187


How do I find the factor combinations of the number 303,738,437?

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 303,738,437, 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.

1 303,738,437
-1 -303,738,437

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 303,738,437.

Example:
1 x 303,738,437 = 303,738,437
and
-1 x -303,738,437 = 303,738,437
Notice both answers equal 303,738,437

With that explanation out of the way, let's continue. Next, we take the number 303,738,437 and divide it by 2:

303,738,437 ÷ 2 = 151,869,218.5

If the quotient is a whole number, then 2 and 151,869,218.5 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:

1 303,738,437
-1 -303,738,437

Now, we try dividing 303,738,437 by 3:

303,738,437 ÷ 3 = 101,246,145.6667

If the quotient is a whole number, then 3 and 101,246,145.6667 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:

1 303,738,437
-1 -303,738,437

Let's try dividing by 4:

303,738,437 ÷ 4 = 75,934,609.25

If the quotient is a whole number, then 4 and 75,934,609.25 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:

1 303,738,437
-1 303,738,437
Keep dividing by the next highest number until you cannot divide anymore.

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

1231492633373,4276,0497,75139,18750,21388,631901,3011,154,8992,038,51313,206,019303,738,437
-1-23-149-263-337-3,427-6,049-7,751-39,187-50,213-88,631-901,301-1,154,899-2,038,513-13,206,019-303,738,437

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 303,738,437:


Ask a Question