Q: What are the factor combinations of the number 50,107,015?

 A:
Positive:   1 x 501070155 x 100214037 x 715814535 x 1431629163 x 307405815 x 614811141 x 439155705 x 8783
Negative: -1 x -50107015-5 x -10021403-7 x -7158145-35 x -1431629-163 x -307405-815 x -61481-1141 x -43915-5705 x -8783


How do I find the factor combinations of the number 50,107,015?

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 50,107,015, 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 50,107,015
-1 -50,107,015

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 50,107,015.

Example:
1 x 50,107,015 = 50,107,015
and
-1 x -50,107,015 = 50,107,015
Notice both answers equal 50,107,015

With that explanation out of the way, let's continue. Next, we take the number 50,107,015 and divide it by 2:

50,107,015 ÷ 2 = 25,053,507.5

If the quotient is a whole number, then 2 and 25,053,507.5 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 50,107,015
-1 -50,107,015

Now, we try dividing 50,107,015 by 3:

50,107,015 ÷ 3 = 16,702,338.3333

If the quotient is a whole number, then 3 and 16,702,338.3333 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 50,107,015
-1 -50,107,015

Let's try dividing by 4:

50,107,015 ÷ 4 = 12,526,753.75

If the quotient is a whole number, then 4 and 12,526,753.75 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 50,107,015
-1 50,107,015
Keep dividing by the next highest number until you cannot divide anymore.

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

157351638151,1415,7058,78343,91561,481307,4051,431,6297,158,14510,021,40350,107,015
-1-5-7-35-163-815-1,141-5,705-8,783-43,915-61,481-307,405-1,431,629-7,158,145-10,021,403-50,107,015

More Examples

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