Q: What are the factor combinations of the number 47,040,065?

 A:
Positive:   1 x 470400655 x 940801343 x 1093955215 x 218791331 x 142115661 x 711651655 x 284233305 x 14233
Negative: -1 x -47040065-5 x -9408013-43 x -1093955-215 x -218791-331 x -142115-661 x -71165-1655 x -28423-3305 x -14233


How do I find the factor combinations of the number 47,040,065?

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 47,040,065, 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 47,040,065
-1 -47,040,065

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 47,040,065.

Example:
1 x 47,040,065 = 47,040,065
and
-1 x -47,040,065 = 47,040,065
Notice both answers equal 47,040,065

With that explanation out of the way, let's continue. Next, we take the number 47,040,065 and divide it by 2:

47,040,065 ÷ 2 = 23,520,032.5

If the quotient is a whole number, then 2 and 23,520,032.5 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 47,040,065
-1 -47,040,065

Now, we try dividing 47,040,065 by 3:

47,040,065 ÷ 3 = 15,680,021.6667

If the quotient is a whole number, then 3 and 15,680,021.6667 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 47,040,065
-1 -47,040,065

Let's try dividing by 4:

47,040,065 ÷ 4 = 11,760,016.25

If the quotient is a whole number, then 4 and 11,760,016.25 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 47,040,065
-1 47,040,065
Keep dividing by the next highest number until you cannot divide anymore.

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

15432153316611,6553,30514,23328,42371,165142,115218,7911,093,9559,408,01347,040,065
-1-5-43-215-331-661-1,655-3,305-14,233-28,423-71,165-142,115-218,791-1,093,955-9,408,013-47,040,065

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