Q: What are the factor combinations of the number 50,242,445?

 A:
Positive:   1 x 502424455 x 1004848911 x 456749555 x 913499463 x 1085151973 x 254652315 x 217035093 x 9865
Negative: -1 x -50242445-5 x -10048489-11 x -4567495-55 x -913499-463 x -108515-1973 x -25465-2315 x -21703-5093 x -9865


How do I find the factor combinations of the number 50,242,445?

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 50,242,445, 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 50,242,445
-1 -50,242,445

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 50,242,445.

Example:
1 x 50,242,445 = 50,242,445
and
-1 x -50,242,445 = 50,242,445
Notice both answers equal 50,242,445

With that explanation out of the way, let's continue. Next, we take the number 50,242,445 and divide it by 2:

50,242,445 ÷ 2 = 25,121,222.5

If the quotient is a whole number, then 2 and 25,121,222.5 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 50,242,445
-1 -50,242,445

Now, we try dividing 50,242,445 by 3:

50,242,445 ÷ 3 = 16,747,481.6667

If the quotient is a whole number, then 3 and 16,747,481.6667 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 50,242,445
-1 -50,242,445

Let's try dividing by 4:

50,242,445 ÷ 4 = 12,560,611.25

If the quotient is a whole number, then 4 and 12,560,611.25 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 50,242,445
-1 50,242,445
Keep dividing by the next highest number until you cannot divide anymore.

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

1511554631,9732,3155,0939,86521,70325,465108,515913,4994,567,49510,048,48950,242,445
-1-5-11-55-463-1,973-2,315-5,093-9,865-21,703-25,465-108,515-913,499-4,567,495-10,048,489-50,242,445

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 50,242,445:


Ask a Question