Q: What are the factor combinations of the number 49,135,855?

 A:
Positive:   1 x 491358555 x 9827171641 x 766553205 x 15331
Negative: -1 x -49135855-5 x -9827171-641 x -76655-3205 x -15331


How do I find the factor combinations of the number 49,135,855?

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 49,135,855, 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 49,135,855
-1 -49,135,855

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 49,135,855.

Example:
1 x 49,135,855 = 49,135,855
and
-1 x -49,135,855 = 49,135,855
Notice both answers equal 49,135,855

With that explanation out of the way, let's continue. Next, we take the number 49,135,855 and divide it by 2:

49,135,855 ÷ 2 = 24,567,927.5

If the quotient is a whole number, then 2 and 24,567,927.5 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 49,135,855
-1 -49,135,855

Now, we try dividing 49,135,855 by 3:

49,135,855 ÷ 3 = 16,378,618.3333

If the quotient is a whole number, then 3 and 16,378,618.3333 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 49,135,855
-1 -49,135,855

Let's try dividing by 4:

49,135,855 ÷ 4 = 12,283,963.75

If the quotient is a whole number, then 4 and 12,283,963.75 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 49,135,855
-1 49,135,855
Keep dividing by the next highest number until you cannot divide anymore.

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

156413,20515,33176,6559,827,17149,135,855
-1-5-641-3,205-15,331-76,655-9,827,171-49,135,855

More Examples

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