Q: What are the factor combinations of the number 50,165,615?

 A:
Positive:   1 x 501656155 x 1003312383 x 604405109 x 460235415 x 120881545 x 920471109 x 452355545 x 9047
Negative: -1 x -50165615-5 x -10033123-83 x -604405-109 x -460235-415 x -120881-545 x -92047-1109 x -45235-5545 x -9047


How do I find the factor combinations of the number 50,165,615?

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 50,165,615, 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 50,165,615
-1 -50,165,615

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 50,165,615.

Example:
1 x 50,165,615 = 50,165,615
and
-1 x -50,165,615 = 50,165,615
Notice both answers equal 50,165,615

With that explanation out of the way, let's continue. Next, we take the number 50,165,615 and divide it by 2:

50,165,615 ÷ 2 = 25,082,807.5

If the quotient is a whole number, then 2 and 25,082,807.5 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 50,165,615
-1 -50,165,615

Now, we try dividing 50,165,615 by 3:

50,165,615 ÷ 3 = 16,721,871.6667

If the quotient is a whole number, then 3 and 16,721,871.6667 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 50,165,615
-1 -50,165,615

Let's try dividing by 4:

50,165,615 ÷ 4 = 12,541,403.75

If the quotient is a whole number, then 4 and 12,541,403.75 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 50,165,615
-1 50,165,615
Keep dividing by the next highest number until you cannot divide anymore.

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

15831094155451,1095,5459,04745,23592,047120,881460,235604,40510,033,12350,165,615
-1-5-83-109-415-545-1,109-5,545-9,047-45,235-92,047-120,881-460,235-604,405-10,033,123-50,165,615

More Examples

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