Q: What are the factor combinations of the number 241,323,199?

 A:
Positive:   1 x 24132319913 x 1856332319 x 1270122123 x 10492313107 x 2255357247 x 977017299 x 807101397 x 607867437 x 5522271391 x 1734892033 x 1187032461 x 980595161 x 467595681 x 424797543 x 319939131 x 26429
Negative: -1 x -241323199-13 x -18563323-19 x -12701221-23 x -10492313-107 x -2255357-247 x -977017-299 x -807101-397 x -607867-437 x -552227-1391 x -173489-2033 x -118703-2461 x -98059-5161 x -46759-5681 x -42479-7543 x -31993-9131 x -26429


How do I find the factor combinations of the number 241,323,199?

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 241,323,199, 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.

1 241,323,199
-1 -241,323,199

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 241,323,199.

Example:
1 x 241,323,199 = 241,323,199
and
-1 x -241,323,199 = 241,323,199
Notice both answers equal 241,323,199

With that explanation out of the way, let's continue. Next, we take the number 241,323,199 and divide it by 2:

241,323,199 ÷ 2 = 120,661,599.5

If the quotient is a whole number, then 2 and 120,661,599.5 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:

1 241,323,199
-1 -241,323,199

Now, we try dividing 241,323,199 by 3:

241,323,199 ÷ 3 = 80,441,066.3333

If the quotient is a whole number, then 3 and 80,441,066.3333 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:

1 241,323,199
-1 -241,323,199

Let's try dividing by 4:

241,323,199 ÷ 4 = 60,330,799.75

If the quotient is a whole number, then 4 and 60,330,799.75 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:

1 241,323,199
-1 241,323,199
Keep dividing by the next highest number until you cannot divide anymore.

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

11319231072472993974371,3912,0332,4615,1615,6817,5439,13126,42931,99342,47946,75998,059118,703173,489552,227607,867807,101977,0172,255,35710,492,31312,701,22118,563,323241,323,199
-1-13-19-23-107-247-299-397-437-1,391-2,033-2,461-5,161-5,681-7,543-9,131-26,429-31,993-42,479-46,759-98,059-118,703-173,489-552,227-607,867-807,101-977,017-2,255,357-10,492,313-12,701,221-18,563,323-241,323,199

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