Q: What are the factor combinations of the number 24,424,225?

 A:
Positive:   1 x 244242255 x 48848457 x 348917525 x 97696935 x 697835175 x 139567233 x 104825599 x 407751165 x 209651631 x 149752995 x 81554193 x 5825
Negative: -1 x -24424225-5 x -4884845-7 x -3489175-25 x -976969-35 x -697835-175 x -139567-233 x -104825-599 x -40775-1165 x -20965-1631 x -14975-2995 x -8155-4193 x -5825


How do I find the factor combinations of the number 24,424,225?

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 24,424,225, 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 24,424,225
-1 -24,424,225

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 24,424,225.

Example:
1 x 24,424,225 = 24,424,225
and
-1 x -24,424,225 = 24,424,225
Notice both answers equal 24,424,225

With that explanation out of the way, let's continue. Next, we take the number 24,424,225 and divide it by 2:

24,424,225 ÷ 2 = 12,212,112.5

If the quotient is a whole number, then 2 and 12,212,112.5 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 24,424,225
-1 -24,424,225

Now, we try dividing 24,424,225 by 3:

24,424,225 ÷ 3 = 8,141,408.3333

If the quotient is a whole number, then 3 and 8,141,408.3333 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 24,424,225
-1 -24,424,225

Let's try dividing by 4:

24,424,225 ÷ 4 = 6,106,056.25

If the quotient is a whole number, then 4 and 6,106,056.25 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 24,424,225
-1 24,424,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351752335991,1651,6312,9954,1935,8258,15514,97520,96540,775104,825139,567697,835976,9693,489,1754,884,84524,424,225
-1-5-7-25-35-175-233-599-1,165-1,631-2,995-4,193-5,825-8,155-14,975-20,965-40,775-104,825-139,567-697,835-976,969-3,489,175-4,884,845-24,424,225

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