Q: What are the factor combinations of the number 124,344,433?

 A:
Positive:   1 x 12434443343 x 2891731101 x 12311334343 x 28631
Negative: -1 x -124344433-43 x -2891731-101 x -1231133-4343 x -28631


How do I find the factor combinations of the number 124,344,433?

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 124,344,433, 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.

1 124,344,433
-1 -124,344,433

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 124,344,433.

Example:
1 x 124,344,433 = 124,344,433
and
-1 x -124,344,433 = 124,344,433
Notice both answers equal 124,344,433

With that explanation out of the way, let's continue. Next, we take the number 124,344,433 and divide it by 2:

124,344,433 ÷ 2 = 62,172,216.5

If the quotient is a whole number, then 2 and 62,172,216.5 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:

1 124,344,433
-1 -124,344,433

Now, we try dividing 124,344,433 by 3:

124,344,433 ÷ 3 = 41,448,144.3333

If the quotient is a whole number, then 3 and 41,448,144.3333 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:

1 124,344,433
-1 -124,344,433

Let's try dividing by 4:

124,344,433 ÷ 4 = 31,086,108.25

If the quotient is a whole number, then 4 and 31,086,108.25 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:

1 124,344,433
-1 124,344,433
Keep dividing by the next highest number until you cannot divide anymore.

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

1431014,34328,6311,231,1332,891,731124,344,433
-1-43-101-4,343-28,631-1,231,133-2,891,731-124,344,433

More Examples

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