Q: What are the factor combinations of the number 134,231,621?

 A:
Positive:   1 x 134231621
Negative: -1 x -134231621


How do I find the factor combinations of the number 134,231,621?

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 134,231,621, 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.

1 134,231,621
-1 -134,231,621

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 134,231,621.

Example:
1 x 134,231,621 = 134,231,621
and
-1 x -134,231,621 = 134,231,621
Notice both answers equal 134,231,621

With that explanation out of the way, let's continue. Next, we take the number 134,231,621 and divide it by 2:

134,231,621 ÷ 2 = 67,115,810.5

If the quotient is a whole number, then 2 and 67,115,810.5 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:

1 134,231,621
-1 -134,231,621

Now, we try dividing 134,231,621 by 3:

134,231,621 ÷ 3 = 44,743,873.6667

If the quotient is a whole number, then 3 and 44,743,873.6667 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:

1 134,231,621
-1 -134,231,621

Let's try dividing by 4:

134,231,621 ÷ 4 = 33,557,905.25

If the quotient is a whole number, then 4 and 33,557,905.25 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:

1 134,231,621
-1 134,231,621
Keep dividing by the next highest number until you cannot divide anymore.

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

1134,231,621
-1-134,231,621

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 134,231,621:


Ask a Question