Q: What are the factor combinations of the number 50,504,531?

 A:
Positive:   1 x 505045317 x 721493311 x 459132159 x 85600977 x 655903413 x 122287649 x 778194543 x 11117
Negative: -1 x -50504531-7 x -7214933-11 x -4591321-59 x -856009-77 x -655903-413 x -122287-649 x -77819-4543 x -11117


How do I find the factor combinations of the number 50,504,531?

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 50,504,531, 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 50,504,531
-1 -50,504,531

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 50,504,531.

Example:
1 x 50,504,531 = 50,504,531
and
-1 x -50,504,531 = 50,504,531
Notice both answers equal 50,504,531

With that explanation out of the way, let's continue. Next, we take the number 50,504,531 and divide it by 2:

50,504,531 ÷ 2 = 25,252,265.5

If the quotient is a whole number, then 2 and 25,252,265.5 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 50,504,531
-1 -50,504,531

Now, we try dividing 50,504,531 by 3:

50,504,531 ÷ 3 = 16,834,843.6667

If the quotient is a whole number, then 3 and 16,834,843.6667 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 50,504,531
-1 -50,504,531

Let's try dividing by 4:

50,504,531 ÷ 4 = 12,626,132.75

If the quotient is a whole number, then 4 and 12,626,132.75 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 50,504,531
-1 50,504,531
Keep dividing by the next highest number until you cannot divide anymore.

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

171159774136494,54311,11777,819122,287655,903856,0094,591,3217,214,93350,504,531
-1-7-11-59-77-413-649-4,543-11,117-77,819-122,287-655,903-856,009-4,591,321-7,214,933-50,504,531

More Examples

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