Q: What are the factor combinations of the number 50,030,321?

 A:
Positive:   1 x 5003032111 x 4548211179 x 2794991969 x 25409
Negative: -1 x -50030321-11 x -4548211-179 x -279499-1969 x -25409


How do I find the factor combinations of the number 50,030,321?

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 50,030,321, 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 50,030,321
-1 -50,030,321

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 50,030,321.

Example:
1 x 50,030,321 = 50,030,321
and
-1 x -50,030,321 = 50,030,321
Notice both answers equal 50,030,321

With that explanation out of the way, let's continue. Next, we take the number 50,030,321 and divide it by 2:

50,030,321 ÷ 2 = 25,015,160.5

If the quotient is a whole number, then 2 and 25,015,160.5 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 50,030,321
-1 -50,030,321

Now, we try dividing 50,030,321 by 3:

50,030,321 ÷ 3 = 16,676,773.6667

If the quotient is a whole number, then 3 and 16,676,773.6667 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 50,030,321
-1 -50,030,321

Let's try dividing by 4:

50,030,321 ÷ 4 = 12,507,580.25

If the quotient is a whole number, then 4 and 12,507,580.25 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 50,030,321
-1 50,030,321
Keep dividing by the next highest number until you cannot divide anymore.

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

1111791,96925,409279,4994,548,21150,030,321
-1-11-179-1,969-25,409-279,499-4,548,211-50,030,321

More Examples

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