Q: What are the factor combinations of the number 124,121,243?

 A:
Positive:   1 x 12412124319 x 653269773 x 1700291109 x 1138727821 x 1511831387 x 894892071 x 599337957 x 15599
Negative: -1 x -124121243-19 x -6532697-73 x -1700291-109 x -1138727-821 x -151183-1387 x -89489-2071 x -59933-7957 x -15599


How do I find the factor combinations of the number 124,121,243?

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 124,121,243, 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.

1 124,121,243
-1 -124,121,243

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 124,121,243.

Example:
1 x 124,121,243 = 124,121,243
and
-1 x -124,121,243 = 124,121,243
Notice both answers equal 124,121,243

With that explanation out of the way, let's continue. Next, we take the number 124,121,243 and divide it by 2:

124,121,243 ÷ 2 = 62,060,621.5

If the quotient is a whole number, then 2 and 62,060,621.5 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:

1 124,121,243
-1 -124,121,243

Now, we try dividing 124,121,243 by 3:

124,121,243 ÷ 3 = 41,373,747.6667

If the quotient is a whole number, then 3 and 41,373,747.6667 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:

1 124,121,243
-1 -124,121,243

Let's try dividing by 4:

124,121,243 ÷ 4 = 31,030,310.75

If the quotient is a whole number, then 4 and 31,030,310.75 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:

1 124,121,243
-1 124,121,243
Keep dividing by the next highest number until you cannot divide anymore.

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

119731098211,3872,0717,95715,59959,93389,489151,1831,138,7271,700,2916,532,697124,121,243
-1-19-73-109-821-1,387-2,071-7,957-15,599-59,933-89,489-151,183-1,138,727-1,700,291-6,532,697-124,121,243

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