Q: What are the factor combinations of the number 24,012,065?

 A:
Positive:   1 x 240120655 x 48024137 x 343029511 x 218291535 x 68605947 x 51089555 x 43658377 x 311845235 x 102179329 x 72985385 x 62369517 x 464451327 x 180951645 x 145972585 x 92893619 x 6635
Negative: -1 x -24012065-5 x -4802413-7 x -3430295-11 x -2182915-35 x -686059-47 x -510895-55 x -436583-77 x -311845-235 x -102179-329 x -72985-385 x -62369-517 x -46445-1327 x -18095-1645 x -14597-2585 x -9289-3619 x -6635


How do I find the factor combinations of the number 24,012,065?

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 24,012,065, 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 24,012,065
-1 -24,012,065

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 24,012,065.

Example:
1 x 24,012,065 = 24,012,065
and
-1 x -24,012,065 = 24,012,065
Notice both answers equal 24,012,065

With that explanation out of the way, let's continue. Next, we take the number 24,012,065 and divide it by 2:

24,012,065 ÷ 2 = 12,006,032.5

If the quotient is a whole number, then 2 and 12,006,032.5 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 24,012,065
-1 -24,012,065

Now, we try dividing 24,012,065 by 3:

24,012,065 ÷ 3 = 8,004,021.6667

If the quotient is a whole number, then 3 and 8,004,021.6667 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 24,012,065
-1 -24,012,065

Let's try dividing by 4:

24,012,065 ÷ 4 = 6,003,016.25

If the quotient is a whole number, then 4 and 6,003,016.25 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 24,012,065
-1 24,012,065
Keep dividing by the next highest number until you cannot divide anymore.

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

15711354755772353293855171,3271,6452,5853,6196,6359,28914,59718,09546,44562,36972,985102,179311,845436,583510,895686,0592,182,9153,430,2954,802,41324,012,065
-1-5-7-11-35-47-55-77-235-329-385-517-1,327-1,645-2,585-3,619-6,635-9,289-14,597-18,095-46,445-62,369-72,985-102,179-311,845-436,583-510,895-686,059-2,182,915-3,430,295-4,802,413-24,012,065

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