Q: What are the factor combinations of the number 24,612,005?

 A:
Positive:   1 x 246120055 x 492240111 x 223745517 x 144776555 x 44749185 x 289553121 x 203405187 x 131615605 x 40681935 x 263232057 x 119652393 x 10285
Negative: -1 x -24612005-5 x -4922401-11 x -2237455-17 x -1447765-55 x -447491-85 x -289553-121 x -203405-187 x -131615-605 x -40681-935 x -26323-2057 x -11965-2393 x -10285


How do I find the factor combinations of the number 24,612,005?

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 24,612,005, 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 24,612,005
-1 -24,612,005

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 24,612,005.

Example:
1 x 24,612,005 = 24,612,005
and
-1 x -24,612,005 = 24,612,005
Notice both answers equal 24,612,005

With that explanation out of the way, let's continue. Next, we take the number 24,612,005 and divide it by 2:

24,612,005 ÷ 2 = 12,306,002.5

If the quotient is a whole number, then 2 and 12,306,002.5 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 24,612,005
-1 -24,612,005

Now, we try dividing 24,612,005 by 3:

24,612,005 ÷ 3 = 8,204,001.6667

If the quotient is a whole number, then 3 and 8,204,001.6667 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 24,612,005
-1 -24,612,005

Let's try dividing by 4:

24,612,005 ÷ 4 = 6,153,001.25

If the quotient is a whole number, then 4 and 6,153,001.25 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 24,612,005
-1 24,612,005
Keep dividing by the next highest number until you cannot divide anymore.

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

15111755851211876059352,0572,39310,28511,96526,32340,681131,615203,405289,553447,4911,447,7652,237,4554,922,40124,612,005
-1-5-11-17-55-85-121-187-605-935-2,057-2,393-10,285-11,965-26,323-40,681-131,615-203,405-289,553-447,491-1,447,765-2,237,455-4,922,401-24,612,005

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