Q: What are the factor combinations of the number 505,035,533?

 A:
Positive:   1 x 50503553337 x 13649609113 x 4469341199 x 2537867607 x 8320194181 x 1207937363 x 6859122459 x 22487
Negative: -1 x -505035533-37 x -13649609-113 x -4469341-199 x -2537867-607 x -832019-4181 x -120793-7363 x -68591-22459 x -22487


How do I find the factor combinations of the number 505,035,533?

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 505,035,533, 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.

1 505,035,533
-1 -505,035,533

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 505,035,533.

Example:
1 x 505,035,533 = 505,035,533
and
-1 x -505,035,533 = 505,035,533
Notice both answers equal 505,035,533

With that explanation out of the way, let's continue. Next, we take the number 505,035,533 and divide it by 2:

505,035,533 ÷ 2 = 252,517,766.5

If the quotient is a whole number, then 2 and 252,517,766.5 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:

1 505,035,533
-1 -505,035,533

Now, we try dividing 505,035,533 by 3:

505,035,533 ÷ 3 = 168,345,177.6667

If the quotient is a whole number, then 3 and 168,345,177.6667 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:

1 505,035,533
-1 -505,035,533

Let's try dividing by 4:

505,035,533 ÷ 4 = 126,258,883.25

If the quotient is a whole number, then 4 and 126,258,883.25 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:

1 505,035,533
-1 505,035,533
Keep dividing by the next highest number until you cannot divide anymore.

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

1371131996074,1817,36322,45922,48768,591120,793832,0192,537,8674,469,34113,649,609505,035,533
-1-37-113-199-607-4,181-7,363-22,459-22,487-68,591-120,793-832,019-2,537,867-4,469,341-13,649,609-505,035,533

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