Q: What are the factor combinations of the number 337,356,043?

 A:
Positive:   1 x 33735604329 x 1163296731 x 10882453899 x 375257
Negative: -1 x -337356043-29 x -11632967-31 x -10882453-899 x -375257


How do I find the factor combinations of the number 337,356,043?

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 337,356,043, 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.

1 337,356,043
-1 -337,356,043

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 337,356,043.

Example:
1 x 337,356,043 = 337,356,043
and
-1 x -337,356,043 = 337,356,043
Notice both answers equal 337,356,043

With that explanation out of the way, let's continue. Next, we take the number 337,356,043 and divide it by 2:

337,356,043 ÷ 2 = 168,678,021.5

If the quotient is a whole number, then 2 and 168,678,021.5 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:

1 337,356,043
-1 -337,356,043

Now, we try dividing 337,356,043 by 3:

337,356,043 ÷ 3 = 112,452,014.3333

If the quotient is a whole number, then 3 and 112,452,014.3333 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:

1 337,356,043
-1 -337,356,043

Let's try dividing by 4:

337,356,043 ÷ 4 = 84,339,010.75

If the quotient is a whole number, then 4 and 84,339,010.75 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:

1 337,356,043
-1 337,356,043
Keep dividing by the next highest number until you cannot divide anymore.

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

12931899375,25710,882,45311,632,967337,356,043
-1-29-31-899-375,257-10,882,453-11,632,967-337,356,043

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 337,356,043:


Ask a Question