Q: What are the factor combinations of the number 135,464,021?

 A:
Positive:   1 x 1354640217 x 1935200311 x 1231491177 x 1759273577 x 2347733049 x 444294039 x 335396347 x 21343
Negative: -1 x -135464021-7 x -19352003-11 x -12314911-77 x -1759273-577 x -234773-3049 x -44429-4039 x -33539-6347 x -21343


How do I find the factor combinations of the number 135,464,021?

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 135,464,021, 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.

1 135,464,021
-1 -135,464,021

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 135,464,021.

Example:
1 x 135,464,021 = 135,464,021
and
-1 x -135,464,021 = 135,464,021
Notice both answers equal 135,464,021

With that explanation out of the way, let's continue. Next, we take the number 135,464,021 and divide it by 2:

135,464,021 ÷ 2 = 67,732,010.5

If the quotient is a whole number, then 2 and 67,732,010.5 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:

1 135,464,021
-1 -135,464,021

Now, we try dividing 135,464,021 by 3:

135,464,021 ÷ 3 = 45,154,673.6667

If the quotient is a whole number, then 3 and 45,154,673.6667 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:

1 135,464,021
-1 -135,464,021

Let's try dividing by 4:

135,464,021 ÷ 4 = 33,866,005.25

If the quotient is a whole number, then 4 and 33,866,005.25 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:

1 135,464,021
-1 135,464,021
Keep dividing by the next highest number until you cannot divide anymore.

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

1711775773,0494,0396,34721,34333,53944,429234,7731,759,27312,314,91119,352,003135,464,021
-1-7-11-77-577-3,049-4,039-6,347-21,343-33,539-44,429-234,773-1,759,273-12,314,911-19,352,003-135,464,021

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 135,464,021:


Ask a Question