Q: What are the factor combinations of the number 50,023,325?

 A:
Positive:   1 x 500233255 x 1000466511 x 454757525 x 200093355 x 909515275 x 181903
Negative: -1 x -50023325-5 x -10004665-11 x -4547575-25 x -2000933-55 x -909515-275 x -181903


How do I find the factor combinations of the number 50,023,325?

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 50,023,325, 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 50,023,325
-1 -50,023,325

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 50,023,325.

Example:
1 x 50,023,325 = 50,023,325
and
-1 x -50,023,325 = 50,023,325
Notice both answers equal 50,023,325

With that explanation out of the way, let's continue. Next, we take the number 50,023,325 and divide it by 2:

50,023,325 ÷ 2 = 25,011,662.5

If the quotient is a whole number, then 2 and 25,011,662.5 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 50,023,325
-1 -50,023,325

Now, we try dividing 50,023,325 by 3:

50,023,325 ÷ 3 = 16,674,441.6667

If the quotient is a whole number, then 3 and 16,674,441.6667 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 50,023,325
-1 -50,023,325

Let's try dividing by 4:

50,023,325 ÷ 4 = 12,505,831.25

If the quotient is a whole number, then 4 and 12,505,831.25 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 50,023,325
-1 50,023,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15112555275181,903909,5152,000,9334,547,57510,004,66550,023,325
-1-5-11-25-55-275-181,903-909,515-2,000,933-4,547,575-10,004,665-50,023,325

More Examples

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