Q: What are the factor combinations of the number 49,015,811?

 A:
Positive:   1 x 4901581113 x 377044717 x 2883283221 x 221791257 x 190723863 x 567973341 x 146714369 x 11219
Negative: -1 x -49015811-13 x -3770447-17 x -2883283-221 x -221791-257 x -190723-863 x -56797-3341 x -14671-4369 x -11219


How do I find the factor combinations of the number 49,015,811?

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 49,015,811, 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 49,015,811
-1 -49,015,811

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 49,015,811.

Example:
1 x 49,015,811 = 49,015,811
and
-1 x -49,015,811 = 49,015,811
Notice both answers equal 49,015,811

With that explanation out of the way, let's continue. Next, we take the number 49,015,811 and divide it by 2:

49,015,811 ÷ 2 = 24,507,905.5

If the quotient is a whole number, then 2 and 24,507,905.5 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 49,015,811
-1 -49,015,811

Now, we try dividing 49,015,811 by 3:

49,015,811 ÷ 3 = 16,338,603.6667

If the quotient is a whole number, then 3 and 16,338,603.6667 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 49,015,811
-1 -49,015,811

Let's try dividing by 4:

49,015,811 ÷ 4 = 12,253,952.75

If the quotient is a whole number, then 4 and 12,253,952.75 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 49,015,811
-1 49,015,811
Keep dividing by the next highest number until you cannot divide anymore.

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

113172212578633,3414,36911,21914,67156,797190,723221,7912,883,2833,770,44749,015,811
-1-13-17-221-257-863-3,341-4,369-11,219-14,671-56,797-190,723-221,791-2,883,283-3,770,447-49,015,811

More Examples

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