Q: What are the factor combinations of the number 50,500,165?

 A:
Positive:   1 x 505001655 x 1010003329 x 174138559 x 855935145 x 348277295 x 1711871711 x 295155903 x 8555
Negative: -1 x -50500165-5 x -10100033-29 x -1741385-59 x -855935-145 x -348277-295 x -171187-1711 x -29515-5903 x -8555


How do I find the factor combinations of the number 50,500,165?

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 50,500,165, 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 50,500,165
-1 -50,500,165

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 50,500,165.

Example:
1 x 50,500,165 = 50,500,165
and
-1 x -50,500,165 = 50,500,165
Notice both answers equal 50,500,165

With that explanation out of the way, let's continue. Next, we take the number 50,500,165 and divide it by 2:

50,500,165 ÷ 2 = 25,250,082.5

If the quotient is a whole number, then 2 and 25,250,082.5 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 50,500,165
-1 -50,500,165

Now, we try dividing 50,500,165 by 3:

50,500,165 ÷ 3 = 16,833,388.3333

If the quotient is a whole number, then 3 and 16,833,388.3333 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 50,500,165
-1 -50,500,165

Let's try dividing by 4:

50,500,165 ÷ 4 = 12,625,041.25

If the quotient is a whole number, then 4 and 12,625,041.25 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 50,500,165
-1 50,500,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1529591452951,7115,9038,55529,515171,187348,277855,9351,741,38510,100,03350,500,165
-1-5-29-59-145-295-1,711-5,903-8,555-29,515-171,187-348,277-855,935-1,741,385-10,100,033-50,500,165

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