Q: What are the factor combinations of the number 49,222,483?

 A:
Positive:   1 x 4922248319 x 259065729 x 1697327157 x 313519551 x 89333569 x 865072983 x 165014553 x 10811
Negative: -1 x -49222483-19 x -2590657-29 x -1697327-157 x -313519-551 x -89333-569 x -86507-2983 x -16501-4553 x -10811


How do I find the factor combinations of the number 49,222,483?

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 49,222,483, 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 49,222,483
-1 -49,222,483

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 49,222,483.

Example:
1 x 49,222,483 = 49,222,483
and
-1 x -49,222,483 = 49,222,483
Notice both answers equal 49,222,483

With that explanation out of the way, let's continue. Next, we take the number 49,222,483 and divide it by 2:

49,222,483 ÷ 2 = 24,611,241.5

If the quotient is a whole number, then 2 and 24,611,241.5 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 49,222,483
-1 -49,222,483

Now, we try dividing 49,222,483 by 3:

49,222,483 ÷ 3 = 16,407,494.3333

If the quotient is a whole number, then 3 and 16,407,494.3333 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 49,222,483
-1 -49,222,483

Let's try dividing by 4:

49,222,483 ÷ 4 = 12,305,620.75

If the quotient is a whole number, then 4 and 12,305,620.75 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 49,222,483
-1 49,222,483
Keep dividing by the next highest number until you cannot divide anymore.

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

119291575515692,9834,55310,81116,50186,50789,333313,5191,697,3272,590,65749,222,483
-1-19-29-157-551-569-2,983-4,553-10,811-16,501-86,507-89,333-313,519-1,697,327-2,590,657-49,222,483

More Examples

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