Q: What are the factor combinations of the number 50,202,355?

 A:
Positive:   1 x 502023555 x 100404717 x 717176535 x 1434353
Negative: -1 x -50202355-5 x -10040471-7 x -7171765-35 x -1434353


How do I find the factor combinations of the number 50,202,355?

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 50,202,355, 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 50,202,355
-1 -50,202,355

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 50,202,355.

Example:
1 x 50,202,355 = 50,202,355
and
-1 x -50,202,355 = 50,202,355
Notice both answers equal 50,202,355

With that explanation out of the way, let's continue. Next, we take the number 50,202,355 and divide it by 2:

50,202,355 ÷ 2 = 25,101,177.5

If the quotient is a whole number, then 2 and 25,101,177.5 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 50,202,355
-1 -50,202,355

Now, we try dividing 50,202,355 by 3:

50,202,355 ÷ 3 = 16,734,118.3333

If the quotient is a whole number, then 3 and 16,734,118.3333 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 50,202,355
-1 -50,202,355

Let's try dividing by 4:

50,202,355 ÷ 4 = 12,550,588.75

If the quotient is a whole number, then 4 and 12,550,588.75 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 50,202,355
-1 50,202,355
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,434,3537,171,76510,040,47150,202,355
-1-5-7-35-1,434,353-7,171,765-10,040,471-50,202,355

More Examples

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