Q: What are the factor combinations of the number 23,655,324?

 A:
Positive:   1 x 236553242 x 118276623 x 78851084 x 59138316 x 39425547 x 337933211 x 215048412 x 197127714 x 168966621 x 112644422 x 107524228 x 84483333 x 71682842 x 56322244 x 53762166 x 35841477 x 30721284 x 281611132 x 179207154 x 153606231 x 102404308 x 76803462 x 51202924 x 25601
Negative: -1 x -23655324-2 x -11827662-3 x -7885108-4 x -5913831-6 x -3942554-7 x -3379332-11 x -2150484-12 x -1971277-14 x -1689666-21 x -1126444-22 x -1075242-28 x -844833-33 x -716828-42 x -563222-44 x -537621-66 x -358414-77 x -307212-84 x -281611-132 x -179207-154 x -153606-231 x -102404-308 x -76803-462 x -51202-924 x -25601


How do I find the factor combinations of the number 23,655,324?

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 23,655,324, 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 23,655,324
-1 -23,655,324

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 23,655,324.

Example:
1 x 23,655,324 = 23,655,324
and
-1 x -23,655,324 = 23,655,324
Notice both answers equal 23,655,324

With that explanation out of the way, let's continue. Next, we take the number 23,655,324 and divide it by 2:

23,655,324 ÷ 2 = 11,827,662

If the quotient is a whole number, then 2 and 11,827,662 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 11,827,662 23,655,324
-1 -2 -11,827,662 -23,655,324

Now, we try dividing 23,655,324 by 3:

23,655,324 ÷ 3 = 7,885,108

If the quotient is a whole number, then 3 and 7,885,108 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 7,885,108 11,827,662 23,655,324
-1 -2 -3 -7,885,108 -11,827,662 -23,655,324

Let's try dividing by 4:

23,655,324 ÷ 4 = 5,913,831

If the quotient is a whole number, then 4 and 5,913,831 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 5,913,831 7,885,108 11,827,662 23,655,324
-1 -2 -3 -4 -5,913,831 -7,885,108 -11,827,662 23,655,324
Keep dividing by the next highest number until you cannot divide anymore.

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

12346711121421222833424466778413215423130846292425,60151,20276,803102,404153,606179,207281,611307,212358,414537,621563,222716,828844,8331,075,2421,126,4441,689,6661,971,2772,150,4843,379,3323,942,5545,913,8317,885,10811,827,66223,655,324
-1-2-3-4-6-7-11-12-14-21-22-28-33-42-44-66-77-84-132-154-231-308-462-924-25,601-51,202-76,803-102,404-153,606-179,207-281,611-307,212-358,414-537,621-563,222-716,828-844,833-1,075,242-1,126,444-1,689,666-1,971,277-2,150,484-3,379,332-3,942,554-5,913,831-7,885,108-11,827,662-23,655,324

More Examples

Here are some more numbers to try:

23,655,32223,655,32323,655,32523,655,326
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