Q: What are the factor combinations of the number 342,202,037?

 A:
Positive:   1 x 34220203771 x 4819747163 x 209939911573 x 29569
Negative: -1 x -342202037-71 x -4819747-163 x -2099399-11573 x -29569


How do I find the factor combinations of the number 342,202,037?

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 342,202,037, 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.

1 342,202,037
-1 -342,202,037

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 342,202,037.

Example:
1 x 342,202,037 = 342,202,037
and
-1 x -342,202,037 = 342,202,037
Notice both answers equal 342,202,037

With that explanation out of the way, let's continue. Next, we take the number 342,202,037 and divide it by 2:

342,202,037 ÷ 2 = 171,101,018.5

If the quotient is a whole number, then 2 and 171,101,018.5 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:

1 342,202,037
-1 -342,202,037

Now, we try dividing 342,202,037 by 3:

342,202,037 ÷ 3 = 114,067,345.6667

If the quotient is a whole number, then 3 and 114,067,345.6667 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:

1 342,202,037
-1 -342,202,037

Let's try dividing by 4:

342,202,037 ÷ 4 = 85,550,509.25

If the quotient is a whole number, then 4 and 85,550,509.25 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:

1 342,202,037
-1 342,202,037
Keep dividing by the next highest number until you cannot divide anymore.

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

17116311,57329,5692,099,3994,819,747342,202,037
-1-71-163-11,573-29,569-2,099,399-4,819,747-342,202,037

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 342,202,037:


Ask a Question