Q: What are the factor combinations of the number 50,245,027?

 A:
Positive:   1 x 502450277 x 717786143 x 116848979 x 636013301 x 166927553 x 908592113 x 237793397 x 14791
Negative: -1 x -50245027-7 x -7177861-43 x -1168489-79 x -636013-301 x -166927-553 x -90859-2113 x -23779-3397 x -14791


How do I find the factor combinations of the number 50,245,027?

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 50,245,027, 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 50,245,027
-1 -50,245,027

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 50,245,027.

Example:
1 x 50,245,027 = 50,245,027
and
-1 x -50,245,027 = 50,245,027
Notice both answers equal 50,245,027

With that explanation out of the way, let's continue. Next, we take the number 50,245,027 and divide it by 2:

50,245,027 ÷ 2 = 25,122,513.5

If the quotient is a whole number, then 2 and 25,122,513.5 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 50,245,027
-1 -50,245,027

Now, we try dividing 50,245,027 by 3:

50,245,027 ÷ 3 = 16,748,342.3333

If the quotient is a whole number, then 3 and 16,748,342.3333 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 50,245,027
-1 -50,245,027

Let's try dividing by 4:

50,245,027 ÷ 4 = 12,561,256.75

If the quotient is a whole number, then 4 and 12,561,256.75 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 50,245,027
-1 50,245,027
Keep dividing by the next highest number until you cannot divide anymore.

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

1743793015532,1133,39714,79123,77990,859166,927636,0131,168,4897,177,86150,245,027
-1-7-43-79-301-553-2,113-3,397-14,791-23,779-90,859-166,927-636,013-1,168,489-7,177,861-50,245,027

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