Q: What are the factor combinations of the number 47,335,409?

 A:
Positive:   1 x 4733540911 x 4303219107 x 442387131 x 361339307 x 1541871177 x 402171441 x 328493377 x 14017
Negative: -1 x -47335409-11 x -4303219-107 x -442387-131 x -361339-307 x -154187-1177 x -40217-1441 x -32849-3377 x -14017


How do I find the factor combinations of the number 47,335,409?

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 47,335,409, 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 47,335,409
-1 -47,335,409

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 47,335,409.

Example:
1 x 47,335,409 = 47,335,409
and
-1 x -47,335,409 = 47,335,409
Notice both answers equal 47,335,409

With that explanation out of the way, let's continue. Next, we take the number 47,335,409 and divide it by 2:

47,335,409 ÷ 2 = 23,667,704.5

If the quotient is a whole number, then 2 and 23,667,704.5 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 47,335,409
-1 -47,335,409

Now, we try dividing 47,335,409 by 3:

47,335,409 ÷ 3 = 15,778,469.6667

If the quotient is a whole number, then 3 and 15,778,469.6667 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 47,335,409
-1 -47,335,409

Let's try dividing by 4:

47,335,409 ÷ 4 = 11,833,852.25

If the quotient is a whole number, then 4 and 11,833,852.25 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 47,335,409
-1 47,335,409
Keep dividing by the next highest number until you cannot divide anymore.

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

1111071313071,1771,4413,37714,01732,84940,217154,187361,339442,3874,303,21947,335,409
-1-11-107-131-307-1,177-1,441-3,377-14,017-32,849-40,217-154,187-361,339-442,387-4,303,219-47,335,409

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