Q: What are the factor combinations of the number 5,047,147?

 A:
Positive:   1 x 50471477 x 72102117 x 29689149 x 10300373 x 6913983 x 60809119 x 42413511 x 9877581 x 8687833 x 60591241 x 40671411 x 3577
Negative: -1 x -5047147-7 x -721021-17 x -296891-49 x -103003-73 x -69139-83 x -60809-119 x -42413-511 x -9877-581 x -8687-833 x -6059-1241 x -4067-1411 x -3577


How do I find the factor combinations of the number 5,047,147?

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 5,047,147, 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 5,047,147
-1 -5,047,147

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 5,047,147.

Example:
1 x 5,047,147 = 5,047,147
and
-1 x -5,047,147 = 5,047,147
Notice both answers equal 5,047,147

With that explanation out of the way, let's continue. Next, we take the number 5,047,147 and divide it by 2:

5,047,147 ÷ 2 = 2,523,573.5

If the quotient is a whole number, then 2 and 2,523,573.5 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 5,047,147
-1 -5,047,147

Now, we try dividing 5,047,147 by 3:

5,047,147 ÷ 3 = 1,682,382.3333

If the quotient is a whole number, then 3 and 1,682,382.3333 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 5,047,147
-1 -5,047,147

Let's try dividing by 4:

5,047,147 ÷ 4 = 1,261,786.75

If the quotient is a whole number, then 4 and 1,261,786.75 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 5,047,147
-1 5,047,147
Keep dividing by the next highest number until you cannot divide anymore.

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

17174973831195115818331,2411,4113,5774,0676,0598,6879,87742,41360,80969,139103,003296,891721,0215,047,147
-1-7-17-49-73-83-119-511-581-833-1,241-1,411-3,577-4,067-6,059-8,687-9,877-42,413-60,809-69,139-103,003-296,891-721,021-5,047,147

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