Q: What are the factor combinations of the number 5,044,475?

 A:
Positive:   1 x 50444755 x 100889523 x 21932525 x 20177931 x 162725115 x 43865155 x 32545283 x 17825575 x 8773713 x 7075775 x 65091415 x 3565
Negative: -1 x -5044475-5 x -1008895-23 x -219325-25 x -201779-31 x -162725-115 x -43865-155 x -32545-283 x -17825-575 x -8773-713 x -7075-775 x -6509-1415 x -3565


How do I find the factor combinations of the number 5,044,475?

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 5,044,475, 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 5,044,475
-1 -5,044,475

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 5,044,475.

Example:
1 x 5,044,475 = 5,044,475
and
-1 x -5,044,475 = 5,044,475
Notice both answers equal 5,044,475

With that explanation out of the way, let's continue. Next, we take the number 5,044,475 and divide it by 2:

5,044,475 ÷ 2 = 2,522,237.5

If the quotient is a whole number, then 2 and 2,522,237.5 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 5,044,475
-1 -5,044,475

Now, we try dividing 5,044,475 by 3:

5,044,475 ÷ 3 = 1,681,491.6667

If the quotient is a whole number, then 3 and 1,681,491.6667 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 5,044,475
-1 -5,044,475

Let's try dividing by 4:

5,044,475 ÷ 4 = 1,261,118.75

If the quotient is a whole number, then 4 and 1,261,118.75 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 5,044,475
-1 5,044,475
Keep dividing by the next highest number until you cannot divide anymore.

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

152325311151552835757137751,4153,5656,5097,0758,77317,82532,54543,865162,725201,779219,3251,008,8955,044,475
-1-5-23-25-31-115-155-283-575-713-775-1,415-3,565-6,509-7,075-8,773-17,825-32,545-43,865-162,725-201,779-219,325-1,008,895-5,044,475

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