Q: What are the factor combinations of the number 241,432,433?

 A:
Positive:   1 x 24143243311 x 2194840331 x 7788143227 x 1063579341 x 7080132497 x 966893119 x 774077037 x 34309
Negative: -1 x -241432433-11 x -21948403-31 x -7788143-227 x -1063579-341 x -708013-2497 x -96689-3119 x -77407-7037 x -34309


How do I find the factor combinations of the number 241,432,433?

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 241,432,433, 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.

1 241,432,433
-1 -241,432,433

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 241,432,433.

Example:
1 x 241,432,433 = 241,432,433
and
-1 x -241,432,433 = 241,432,433
Notice both answers equal 241,432,433

With that explanation out of the way, let's continue. Next, we take the number 241,432,433 and divide it by 2:

241,432,433 ÷ 2 = 120,716,216.5

If the quotient is a whole number, then 2 and 120,716,216.5 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:

1 241,432,433
-1 -241,432,433

Now, we try dividing 241,432,433 by 3:

241,432,433 ÷ 3 = 80,477,477.6667

If the quotient is a whole number, then 3 and 80,477,477.6667 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:

1 241,432,433
-1 -241,432,433

Let's try dividing by 4:

241,432,433 ÷ 4 = 60,358,108.25

If the quotient is a whole number, then 4 and 60,358,108.25 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:

1 241,432,433
-1 241,432,433
Keep dividing by the next highest number until you cannot divide anymore.

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

111312273412,4973,1197,03734,30977,40796,689708,0131,063,5797,788,14321,948,403241,432,433
-1-11-31-227-341-2,497-3,119-7,037-34,309-77,407-96,689-708,013-1,063,579-7,788,143-21,948,403-241,432,433

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