Q: What are the factor combinations of the number 49,350,433?

 A:
Positive:   1 x 4935043311 x 448640323 x 2145671107 x 461219253 x 1950611177 x 419291823 x 270712461 x 20053
Negative: -1 x -49350433-11 x -4486403-23 x -2145671-107 x -461219-253 x -195061-1177 x -41929-1823 x -27071-2461 x -20053


How do I find the factor combinations of the number 49,350,433?

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 49,350,433, 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 49,350,433
-1 -49,350,433

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 49,350,433.

Example:
1 x 49,350,433 = 49,350,433
and
-1 x -49,350,433 = 49,350,433
Notice both answers equal 49,350,433

With that explanation out of the way, let's continue. Next, we take the number 49,350,433 and divide it by 2:

49,350,433 ÷ 2 = 24,675,216.5

If the quotient is a whole number, then 2 and 24,675,216.5 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 49,350,433
-1 -49,350,433

Now, we try dividing 49,350,433 by 3:

49,350,433 ÷ 3 = 16,450,144.3333

If the quotient is a whole number, then 3 and 16,450,144.3333 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 49,350,433
-1 -49,350,433

Let's try dividing by 4:

49,350,433 ÷ 4 = 12,337,608.25

If the quotient is a whole number, then 4 and 12,337,608.25 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 49,350,433
-1 49,350,433
Keep dividing by the next highest number until you cannot divide anymore.

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

111231072531,1771,8232,46120,05327,07141,929195,061461,2192,145,6714,486,40349,350,433
-1-11-23-107-253-1,177-1,823-2,461-20,053-27,071-41,929-195,061-461,219-2,145,671-4,486,403-49,350,433

More Examples

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