Q: What are the factor combinations of the number 214,332,343?

 A:
Positive:   1 x 2143323438161 x 26263
Negative: -1 x -214332343-8161 x -26263


How do I find the factor combinations of the number 214,332,343?

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 214,332,343, 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.

1 214,332,343
-1 -214,332,343

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 214,332,343.

Example:
1 x 214,332,343 = 214,332,343
and
-1 x -214,332,343 = 214,332,343
Notice both answers equal 214,332,343

With that explanation out of the way, let's continue. Next, we take the number 214,332,343 and divide it by 2:

214,332,343 ÷ 2 = 107,166,171.5

If the quotient is a whole number, then 2 and 107,166,171.5 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:

1 214,332,343
-1 -214,332,343

Now, we try dividing 214,332,343 by 3:

214,332,343 ÷ 3 = 71,444,114.3333

If the quotient is a whole number, then 3 and 71,444,114.3333 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:

1 214,332,343
-1 -214,332,343

Let's try dividing by 4:

214,332,343 ÷ 4 = 53,583,085.75

If the quotient is a whole number, then 4 and 53,583,085.75 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:

1 214,332,343
-1 214,332,343
Keep dividing by the next highest number until you cannot divide anymore.

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

18,16126,263214,332,343
-1-8,161-26,263-214,332,343

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 214,332,343:


Ask a Question