Q: What are the factor combinations of the number 50,830,507?

 A:
Positive:   1 x 508305077 x 726150113 x 391003961 x 83328791 x 558577427 x 119041793 x 640995551 x 9157
Negative: -1 x -50830507-7 x -7261501-13 x -3910039-61 x -833287-91 x -558577-427 x -119041-793 x -64099-5551 x -9157


How do I find the factor combinations of the number 50,830,507?

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 50,830,507, 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 50,830,507
-1 -50,830,507

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 50,830,507.

Example:
1 x 50,830,507 = 50,830,507
and
-1 x -50,830,507 = 50,830,507
Notice both answers equal 50,830,507

With that explanation out of the way, let's continue. Next, we take the number 50,830,507 and divide it by 2:

50,830,507 ÷ 2 = 25,415,253.5

If the quotient is a whole number, then 2 and 25,415,253.5 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 50,830,507
-1 -50,830,507

Now, we try dividing 50,830,507 by 3:

50,830,507 ÷ 3 = 16,943,502.3333

If the quotient is a whole number, then 3 and 16,943,502.3333 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 50,830,507
-1 -50,830,507

Let's try dividing by 4:

50,830,507 ÷ 4 = 12,707,626.75

If the quotient is a whole number, then 4 and 12,707,626.75 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 50,830,507
-1 50,830,507
Keep dividing by the next highest number until you cannot divide anymore.

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

171361914277935,5519,15764,099119,041558,577833,2873,910,0397,261,50150,830,507
-1-7-13-61-91-427-793-5,551-9,157-64,099-119,041-558,577-833,287-3,910,039-7,261,501-50,830,507

More Examples

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