Q: What are the factor combinations of the number 50,533,231?

 A:
Positive:   1 x 505332317 x 721903317 x 297254323 x 219709737 x 1365763119 x 424649161 x 313871259 x 195109391 x 129241499 x 101269629 x 80339851 x 593812737 x 184633493 x 144674403 x 114775957 x 8483
Negative: -1 x -50533231-7 x -7219033-17 x -2972543-23 x -2197097-37 x -1365763-119 x -424649-161 x -313871-259 x -195109-391 x -129241-499 x -101269-629 x -80339-851 x -59381-2737 x -18463-3493 x -14467-4403 x -11477-5957 x -8483


How do I find the factor combinations of the number 50,533,231?

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 50,533,231, 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 50,533,231
-1 -50,533,231

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 50,533,231.

Example:
1 x 50,533,231 = 50,533,231
and
-1 x -50,533,231 = 50,533,231
Notice both answers equal 50,533,231

With that explanation out of the way, let's continue. Next, we take the number 50,533,231 and divide it by 2:

50,533,231 ÷ 2 = 25,266,615.5

If the quotient is a whole number, then 2 and 25,266,615.5 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 50,533,231
-1 -50,533,231

Now, we try dividing 50,533,231 by 3:

50,533,231 ÷ 3 = 16,844,410.3333

If the quotient is a whole number, then 3 and 16,844,410.3333 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 50,533,231
-1 -50,533,231

Let's try dividing by 4:

50,533,231 ÷ 4 = 12,633,307.75

If the quotient is a whole number, then 4 and 12,633,307.75 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 50,533,231
-1 50,533,231
Keep dividing by the next highest number until you cannot divide anymore.

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

171723371191612593914996298512,7373,4934,4035,9578,48311,47714,46718,46359,38180,339101,269129,241195,109313,871424,6491,365,7632,197,0972,972,5437,219,03350,533,231
-1-7-17-23-37-119-161-259-391-499-629-851-2,737-3,493-4,403-5,957-8,483-11,477-14,467-18,463-59,381-80,339-101,269-129,241-195,109-313,871-424,649-1,365,763-2,197,097-2,972,543-7,219,033-50,533,231

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