Q: What are the factor combinations of the number 50,177,507?

 A:
Positive:   1 x 50177507101 x 496807263 x 1907891889 x 26563
Negative: -1 x -50177507-101 x -496807-263 x -190789-1889 x -26563


How do I find the factor combinations of the number 50,177,507?

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 50,177,507, 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 50,177,507
-1 -50,177,507

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 50,177,507.

Example:
1 x 50,177,507 = 50,177,507
and
-1 x -50,177,507 = 50,177,507
Notice both answers equal 50,177,507

With that explanation out of the way, let's continue. Next, we take the number 50,177,507 and divide it by 2:

50,177,507 ÷ 2 = 25,088,753.5

If the quotient is a whole number, then 2 and 25,088,753.5 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 50,177,507
-1 -50,177,507

Now, we try dividing 50,177,507 by 3:

50,177,507 ÷ 3 = 16,725,835.6667

If the quotient is a whole number, then 3 and 16,725,835.6667 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 50,177,507
-1 -50,177,507

Let's try dividing by 4:

50,177,507 ÷ 4 = 12,544,376.75

If the quotient is a whole number, then 4 and 12,544,376.75 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 50,177,507
-1 50,177,507
Keep dividing by the next highest number until you cannot divide anymore.

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

11012631,88926,563190,789496,80750,177,507
-1-101-263-1,889-26,563-190,789-496,807-50,177,507

More Examples

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