Q: What are the factor combinations of the number 24,328,255?

 A:
Positive:   1 x 243282555 x 48656517 x 347546535 x 69509349 x 496495109 x 223195245 x 99299545 x 44639763 x 31885911 x 267053815 x 63774555 x 5341
Negative: -1 x -24328255-5 x -4865651-7 x -3475465-35 x -695093-49 x -496495-109 x -223195-245 x -99299-545 x -44639-763 x -31885-911 x -26705-3815 x -6377-4555 x -5341


How do I find the factor combinations of the number 24,328,255?

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 24,328,255, 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 24,328,255
-1 -24,328,255

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 24,328,255.

Example:
1 x 24,328,255 = 24,328,255
and
-1 x -24,328,255 = 24,328,255
Notice both answers equal 24,328,255

With that explanation out of the way, let's continue. Next, we take the number 24,328,255 and divide it by 2:

24,328,255 ÷ 2 = 12,164,127.5

If the quotient is a whole number, then 2 and 12,164,127.5 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 24,328,255
-1 -24,328,255

Now, we try dividing 24,328,255 by 3:

24,328,255 ÷ 3 = 8,109,418.3333

If the quotient is a whole number, then 3 and 8,109,418.3333 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 24,328,255
-1 -24,328,255

Let's try dividing by 4:

24,328,255 ÷ 4 = 6,082,063.75

If the quotient is a whole number, then 4 and 6,082,063.75 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 24,328,255
-1 24,328,255
Keep dividing by the next highest number until you cannot divide anymore.

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

15735491092455457639113,8154,5555,3416,37726,70531,88544,63999,299223,195496,495695,0933,475,4654,865,65124,328,255
-1-5-7-35-49-109-245-545-763-911-3,815-4,555-5,341-6,377-26,705-31,885-44,639-99,299-223,195-496,495-695,093-3,475,465-4,865,651-24,328,255

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