Q: What are the factor combinations of the number 50,420,455?

 A:
Positive:   1 x 504204555 x 1008409137 x 1362715185 x 272543449 x 112295607 x 830652245 x 224593035 x 16613
Negative: -1 x -50420455-5 x -10084091-37 x -1362715-185 x -272543-449 x -112295-607 x -83065-2245 x -22459-3035 x -16613


How do I find the factor combinations of the number 50,420,455?

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 50,420,455, 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 50,420,455
-1 -50,420,455

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 50,420,455.

Example:
1 x 50,420,455 = 50,420,455
and
-1 x -50,420,455 = 50,420,455
Notice both answers equal 50,420,455

With that explanation out of the way, let's continue. Next, we take the number 50,420,455 and divide it by 2:

50,420,455 ÷ 2 = 25,210,227.5

If the quotient is a whole number, then 2 and 25,210,227.5 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 50,420,455
-1 -50,420,455

Now, we try dividing 50,420,455 by 3:

50,420,455 ÷ 3 = 16,806,818.3333

If the quotient is a whole number, then 3 and 16,806,818.3333 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 50,420,455
-1 -50,420,455

Let's try dividing by 4:

50,420,455 ÷ 4 = 12,605,113.75

If the quotient is a whole number, then 4 and 12,605,113.75 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 50,420,455
-1 50,420,455
Keep dividing by the next highest number until you cannot divide anymore.

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

15371854496072,2453,03516,61322,45983,065112,295272,5431,362,71510,084,09150,420,455
-1-5-37-185-449-607-2,245-3,035-16,613-22,459-83,065-112,295-272,543-1,362,715-10,084,091-50,420,455

More Examples

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