Q: What are the factor combinations of the number 241,022,243?

 A:
Positive:   1 x 2410222437 x 3443174911 x 2191111317 x 1417777977 x 3130159119 x 2025397187 x 1288889289 x 8339871309 x 1841272023 x 1191413179 x 7581710831 x 22253
Negative: -1 x -241022243-7 x -34431749-11 x -21911113-17 x -14177779-77 x -3130159-119 x -2025397-187 x -1288889-289 x -833987-1309 x -184127-2023 x -119141-3179 x -75817-10831 x -22253


How do I find the factor combinations of the number 241,022,243?

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 241,022,243, 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.

1 241,022,243
-1 -241,022,243

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 241,022,243.

Example:
1 x 241,022,243 = 241,022,243
and
-1 x -241,022,243 = 241,022,243
Notice both answers equal 241,022,243

With that explanation out of the way, let's continue. Next, we take the number 241,022,243 and divide it by 2:

241,022,243 ÷ 2 = 120,511,121.5

If the quotient is a whole number, then 2 and 120,511,121.5 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:

1 241,022,243
-1 -241,022,243

Now, we try dividing 241,022,243 by 3:

241,022,243 ÷ 3 = 80,340,747.6667

If the quotient is a whole number, then 3 and 80,340,747.6667 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:

1 241,022,243
-1 -241,022,243

Let's try dividing by 4:

241,022,243 ÷ 4 = 60,255,560.75

If the quotient is a whole number, then 4 and 60,255,560.75 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:

1 241,022,243
-1 241,022,243
Keep dividing by the next highest number until you cannot divide anymore.

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

171117771191872891,3092,0233,17910,83122,25375,817119,141184,127833,9871,288,8892,025,3973,130,15914,177,77921,911,11334,431,749241,022,243
-1-7-11-17-77-119-187-289-1,309-2,023-3,179-10,831-22,253-75,817-119,141-184,127-833,987-1,288,889-2,025,397-3,130,159-14,177,779-21,911,113-34,431,749-241,022,243

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