Q: What are the factor combinations of the number 23,060,135?

 A:
Positive:   1 x 230601355 x 46120277 x 329430535 x 65886149 x 47061561 x 378035245 x 94123305 x 75607427 x 540051543 x 149452135 x 108012989 x 7715
Negative: -1 x -23060135-5 x -4612027-7 x -3294305-35 x -658861-49 x -470615-61 x -378035-245 x -94123-305 x -75607-427 x -54005-1543 x -14945-2135 x -10801-2989 x -7715


How do I find the factor combinations of the number 23,060,135?

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 23,060,135, 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 23,060,135
-1 -23,060,135

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 23,060,135.

Example:
1 x 23,060,135 = 23,060,135
and
-1 x -23,060,135 = 23,060,135
Notice both answers equal 23,060,135

With that explanation out of the way, let's continue. Next, we take the number 23,060,135 and divide it by 2:

23,060,135 ÷ 2 = 11,530,067.5

If the quotient is a whole number, then 2 and 11,530,067.5 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 23,060,135
-1 -23,060,135

Now, we try dividing 23,060,135 by 3:

23,060,135 ÷ 3 = 7,686,711.6667

If the quotient is a whole number, then 3 and 7,686,711.6667 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 23,060,135
-1 -23,060,135

Let's try dividing by 4:

23,060,135 ÷ 4 = 5,765,033.75

If the quotient is a whole number, then 4 and 5,765,033.75 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 23,060,135
-1 23,060,135
Keep dividing by the next highest number until you cannot divide anymore.

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

1573549612453054271,5432,1352,9897,71510,80114,94554,00575,60794,123378,035470,615658,8613,294,3054,612,02723,060,135
-1-5-7-35-49-61-245-305-427-1,543-2,135-2,989-7,715-10,801-14,945-54,005-75,607-94,123-378,035-470,615-658,861-3,294,305-4,612,027-23,060,135

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