Q: What are the factor combinations of the number 49,324,855?

 A:
Positive:   1 x 493248555 x 986497119 x 259604547 x 104946595 x 519209235 x 209893893 x 552354465 x 11047
Negative: -1 x -49324855-5 x -9864971-19 x -2596045-47 x -1049465-95 x -519209-235 x -209893-893 x -55235-4465 x -11047


How do I find the factor combinations of the number 49,324,855?

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 49,324,855, 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 49,324,855
-1 -49,324,855

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 49,324,855.

Example:
1 x 49,324,855 = 49,324,855
and
-1 x -49,324,855 = 49,324,855
Notice both answers equal 49,324,855

With that explanation out of the way, let's continue. Next, we take the number 49,324,855 and divide it by 2:

49,324,855 ÷ 2 = 24,662,427.5

If the quotient is a whole number, then 2 and 24,662,427.5 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 49,324,855
-1 -49,324,855

Now, we try dividing 49,324,855 by 3:

49,324,855 ÷ 3 = 16,441,618.3333

If the quotient is a whole number, then 3 and 16,441,618.3333 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 49,324,855
-1 -49,324,855

Let's try dividing by 4:

49,324,855 ÷ 4 = 12,331,213.75

If the quotient is a whole number, then 4 and 12,331,213.75 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 49,324,855
-1 49,324,855
Keep dividing by the next highest number until you cannot divide anymore.

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

151947952358934,46511,04755,235209,893519,2091,049,4652,596,0459,864,97149,324,855
-1-5-19-47-95-235-893-4,465-11,047-55,235-209,893-519,209-1,049,465-2,596,045-9,864,971-49,324,855

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