Q: What are the factor combinations of the number 23,536,135?

 A:
Positive:   1 x 235361355 x 47072277 x 336230535 x 672461613 x 383951097 x 214553065 x 76794291 x 5485
Negative: -1 x -23536135-5 x -4707227-7 x -3362305-35 x -672461-613 x -38395-1097 x -21455-3065 x -7679-4291 x -5485


How do I find the factor combinations of the number 23,536,135?

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 23,536,135, 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 23,536,135
-1 -23,536,135

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 23,536,135.

Example:
1 x 23,536,135 = 23,536,135
and
-1 x -23,536,135 = 23,536,135
Notice both answers equal 23,536,135

With that explanation out of the way, let's continue. Next, we take the number 23,536,135 and divide it by 2:

23,536,135 ÷ 2 = 11,768,067.5

If the quotient is a whole number, then 2 and 11,768,067.5 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 23,536,135
-1 -23,536,135

Now, we try dividing 23,536,135 by 3:

23,536,135 ÷ 3 = 7,845,378.3333

If the quotient is a whole number, then 3 and 7,845,378.3333 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 23,536,135
-1 -23,536,135

Let's try dividing by 4:

23,536,135 ÷ 4 = 5,884,033.75

If the quotient is a whole number, then 4 and 5,884,033.75 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 23,536,135
-1 23,536,135
Keep dividing by the next highest number until you cannot divide anymore.

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

157356131,0973,0654,2915,4857,67921,45538,395672,4613,362,3054,707,22723,536,135
-1-5-7-35-613-1,097-3,065-4,291-5,485-7,679-21,455-38,395-672,461-3,362,305-4,707,227-23,536,135

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