Q: What are the factor combinations of the number 47,504,137?

 A:
Positive:   1 x 4750413717 x 279436183 x 572339131 x 362627257 x 1848411411 x 336672227 x 213314369 x 10873
Negative: -1 x -47504137-17 x -2794361-83 x -572339-131 x -362627-257 x -184841-1411 x -33667-2227 x -21331-4369 x -10873


How do I find the factor combinations of the number 47,504,137?

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 47,504,137, 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 47,504,137
-1 -47,504,137

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 47,504,137.

Example:
1 x 47,504,137 = 47,504,137
and
-1 x -47,504,137 = 47,504,137
Notice both answers equal 47,504,137

With that explanation out of the way, let's continue. Next, we take the number 47,504,137 and divide it by 2:

47,504,137 ÷ 2 = 23,752,068.5

If the quotient is a whole number, then 2 and 23,752,068.5 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 47,504,137
-1 -47,504,137

Now, we try dividing 47,504,137 by 3:

47,504,137 ÷ 3 = 15,834,712.3333

If the quotient is a whole number, then 3 and 15,834,712.3333 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 47,504,137
-1 -47,504,137

Let's try dividing by 4:

47,504,137 ÷ 4 = 11,876,034.25

If the quotient is a whole number, then 4 and 11,876,034.25 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 47,504,137
-1 47,504,137
Keep dividing by the next highest number until you cannot divide anymore.

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

117831312571,4112,2274,36910,87321,33133,667184,841362,627572,3392,794,36147,504,137
-1-17-83-131-257-1,411-2,227-4,369-10,873-21,331-33,667-184,841-362,627-572,339-2,794,361-47,504,137

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