Q: What are the factor combinations of the number 24,032,305?

 A:
Positive:   1 x 240323055 x 480646111 x 218475517 x 141366555 x 43695185 x 282733187 x 128515935 x 25703
Negative: -1 x -24032305-5 x -4806461-11 x -2184755-17 x -1413665-55 x -436951-85 x -282733-187 x -128515-935 x -25703


How do I find the factor combinations of the number 24,032,305?

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 24,032,305, 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 24,032,305
-1 -24,032,305

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 24,032,305.

Example:
1 x 24,032,305 = 24,032,305
and
-1 x -24,032,305 = 24,032,305
Notice both answers equal 24,032,305

With that explanation out of the way, let's continue. Next, we take the number 24,032,305 and divide it by 2:

24,032,305 ÷ 2 = 12,016,152.5

If the quotient is a whole number, then 2 and 12,016,152.5 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 24,032,305
-1 -24,032,305

Now, we try dividing 24,032,305 by 3:

24,032,305 ÷ 3 = 8,010,768.3333

If the quotient is a whole number, then 3 and 8,010,768.3333 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 24,032,305
-1 -24,032,305

Let's try dividing by 4:

24,032,305 ÷ 4 = 6,008,076.25

If the quotient is a whole number, then 4 and 6,008,076.25 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 24,032,305
-1 24,032,305
Keep dividing by the next highest number until you cannot divide anymore.

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

151117558518793525,703128,515282,733436,9511,413,6652,184,7554,806,46124,032,305
-1-5-11-17-55-85-187-935-25,703-128,515-282,733-436,951-1,413,665-2,184,755-4,806,461-24,032,305

More Examples

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