Q: What are the factor combinations of the number 50,120,323?

 A:
Positive:   1 x 5012032311 x 455639329 x 172828759 x 849497319 x 157117649 x 772271711 x 292932663 x 18821
Negative: -1 x -50120323-11 x -4556393-29 x -1728287-59 x -849497-319 x -157117-649 x -77227-1711 x -29293-2663 x -18821


How do I find the factor combinations of the number 50,120,323?

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 50,120,323, 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 50,120,323
-1 -50,120,323

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 50,120,323.

Example:
1 x 50,120,323 = 50,120,323
and
-1 x -50,120,323 = 50,120,323
Notice both answers equal 50,120,323

With that explanation out of the way, let's continue. Next, we take the number 50,120,323 and divide it by 2:

50,120,323 ÷ 2 = 25,060,161.5

If the quotient is a whole number, then 2 and 25,060,161.5 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 50,120,323
-1 -50,120,323

Now, we try dividing 50,120,323 by 3:

50,120,323 ÷ 3 = 16,706,774.3333

If the quotient is a whole number, then 3 and 16,706,774.3333 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 50,120,323
-1 -50,120,323

Let's try dividing by 4:

50,120,323 ÷ 4 = 12,530,080.75

If the quotient is a whole number, then 4 and 12,530,080.75 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 50,120,323
-1 50,120,323
Keep dividing by the next highest number until you cannot divide anymore.

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

11129593196491,7112,66318,82129,29377,227157,117849,4971,728,2874,556,39350,120,323
-1-11-29-59-319-649-1,711-2,663-18,821-29,293-77,227-157,117-849,497-1,728,287-4,556,393-50,120,323

More Examples

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