Q: What are the factor combinations of the number 135,711,401?

 A:
Positive:   1 x 1357114017 x 19387343151 x 8987511057 x 128393
Negative: -1 x -135711401-7 x -19387343-151 x -898751-1057 x -128393


How do I find the factor combinations of the number 135,711,401?

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 135,711,401, 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.

1 135,711,401
-1 -135,711,401

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 135,711,401.

Example:
1 x 135,711,401 = 135,711,401
and
-1 x -135,711,401 = 135,711,401
Notice both answers equal 135,711,401

With that explanation out of the way, let's continue. Next, we take the number 135,711,401 and divide it by 2:

135,711,401 ÷ 2 = 67,855,700.5

If the quotient is a whole number, then 2 and 67,855,700.5 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:

1 135,711,401
-1 -135,711,401

Now, we try dividing 135,711,401 by 3:

135,711,401 ÷ 3 = 45,237,133.6667

If the quotient is a whole number, then 3 and 45,237,133.6667 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:

1 135,711,401
-1 -135,711,401

Let's try dividing by 4:

135,711,401 ÷ 4 = 33,927,850.25

If the quotient is a whole number, then 4 and 33,927,850.25 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:

1 135,711,401
-1 135,711,401
Keep dividing by the next highest number until you cannot divide anymore.

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

171511,057128,393898,75119,387,343135,711,401
-1-7-151-1,057-128,393-898,751-19,387,343-135,711,401

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 135,711,401:


Ask a Question