Q: What are the factor combinations of the number 50,212,477?

 A:
Positive:   1 x 502124777 x 7173211181 x 2774171267 x 39631
Negative: -1 x -50212477-7 x -7173211-181 x -277417-1267 x -39631


How do I find the factor combinations of the number 50,212,477?

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 50,212,477, 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 50,212,477
-1 -50,212,477

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 50,212,477.

Example:
1 x 50,212,477 = 50,212,477
and
-1 x -50,212,477 = 50,212,477
Notice both answers equal 50,212,477

With that explanation out of the way, let's continue. Next, we take the number 50,212,477 and divide it by 2:

50,212,477 ÷ 2 = 25,106,238.5

If the quotient is a whole number, then 2 and 25,106,238.5 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 50,212,477
-1 -50,212,477

Now, we try dividing 50,212,477 by 3:

50,212,477 ÷ 3 = 16,737,492.3333

If the quotient is a whole number, then 3 and 16,737,492.3333 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 50,212,477
-1 -50,212,477

Let's try dividing by 4:

50,212,477 ÷ 4 = 12,553,119.25

If the quotient is a whole number, then 4 and 12,553,119.25 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 50,212,477
-1 50,212,477
Keep dividing by the next highest number until you cannot divide anymore.

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

171811,26739,631277,4177,173,21150,212,477
-1-7-181-1,267-39,631-277,417-7,173,211-50,212,477

More Examples

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