Q: What are the factor combinations of the number 50,033,039?

 A:
Positive:   1 x 500330397 x 714757731 x 1613969217 x 230567
Negative: -1 x -50033039-7 x -7147577-31 x -1613969-217 x -230567


How do I find the factor combinations of the number 50,033,039?

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 50,033,039, 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 50,033,039
-1 -50,033,039

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 50,033,039.

Example:
1 x 50,033,039 = 50,033,039
and
-1 x -50,033,039 = 50,033,039
Notice both answers equal 50,033,039

With that explanation out of the way, let's continue. Next, we take the number 50,033,039 and divide it by 2:

50,033,039 ÷ 2 = 25,016,519.5

If the quotient is a whole number, then 2 and 25,016,519.5 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 50,033,039
-1 -50,033,039

Now, we try dividing 50,033,039 by 3:

50,033,039 ÷ 3 = 16,677,679.6667

If the quotient is a whole number, then 3 and 16,677,679.6667 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 50,033,039
-1 -50,033,039

Let's try dividing by 4:

50,033,039 ÷ 4 = 12,508,259.75

If the quotient is a whole number, then 4 and 12,508,259.75 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 50,033,039
-1 50,033,039
Keep dividing by the next highest number until you cannot divide anymore.

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

1731217230,5671,613,9697,147,57750,033,039
-1-7-31-217-230,567-1,613,969-7,147,577-50,033,039

More Examples

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