Q: What are the factor combinations of the number 241,132,043?

 A:
Positive:   1 x 24113204331 x 777845347 x 5130469359 x 671677461 x 5230631457 x 16549911129 x 2166714291 x 16873
Negative: -1 x -241132043-31 x -7778453-47 x -5130469-359 x -671677-461 x -523063-1457 x -165499-11129 x -21667-14291 x -16873


How do I find the factor combinations of the number 241,132,043?

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 241,132,043, 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.

1 241,132,043
-1 -241,132,043

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 241,132,043.

Example:
1 x 241,132,043 = 241,132,043
and
-1 x -241,132,043 = 241,132,043
Notice both answers equal 241,132,043

With that explanation out of the way, let's continue. Next, we take the number 241,132,043 and divide it by 2:

241,132,043 ÷ 2 = 120,566,021.5

If the quotient is a whole number, then 2 and 120,566,021.5 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:

1 241,132,043
-1 -241,132,043

Now, we try dividing 241,132,043 by 3:

241,132,043 ÷ 3 = 80,377,347.6667

If the quotient is a whole number, then 3 and 80,377,347.6667 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:

1 241,132,043
-1 -241,132,043

Let's try dividing by 4:

241,132,043 ÷ 4 = 60,283,010.75

If the quotient is a whole number, then 4 and 60,283,010.75 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:

1 241,132,043
-1 241,132,043
Keep dividing by the next highest number until you cannot divide anymore.

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

131473594611,45711,12914,29116,87321,667165,499523,063671,6775,130,4697,778,453241,132,043
-1-31-47-359-461-1,457-11,129-14,291-16,873-21,667-165,499-523,063-671,677-5,130,469-7,778,453-241,132,043

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