Q: What are the factor combinations of the number 47,340,305?

 A:
Positive:   1 x 473403055 x 946806119 x 249159595 x 498319191 x 247855955 x 495712609 x 181453629 x 13045
Negative: -1 x -47340305-5 x -9468061-19 x -2491595-95 x -498319-191 x -247855-955 x -49571-2609 x -18145-3629 x -13045


How do I find the factor combinations of the number 47,340,305?

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 47,340,305, 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 47,340,305
-1 -47,340,305

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 47,340,305.

Example:
1 x 47,340,305 = 47,340,305
and
-1 x -47,340,305 = 47,340,305
Notice both answers equal 47,340,305

With that explanation out of the way, let's continue. Next, we take the number 47,340,305 and divide it by 2:

47,340,305 ÷ 2 = 23,670,152.5

If the quotient is a whole number, then 2 and 23,670,152.5 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 47,340,305
-1 -47,340,305

Now, we try dividing 47,340,305 by 3:

47,340,305 ÷ 3 = 15,780,101.6667

If the quotient is a whole number, then 3 and 15,780,101.6667 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 47,340,305
-1 -47,340,305

Let's try dividing by 4:

47,340,305 ÷ 4 = 11,835,076.25

If the quotient is a whole number, then 4 and 11,835,076.25 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 47,340,305
-1 47,340,305
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951919552,6093,62913,04518,14549,571247,855498,3192,491,5959,468,06147,340,305
-1-5-19-95-191-955-2,609-3,629-13,045-18,145-49,571-247,855-498,319-2,491,595-9,468,061-47,340,305

More Examples

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