Q: What are the factor combinations of the number 320,325,533?

 A:
Positive:   1 x 32032553311 x 2912050343 x 744943173 x 4388021473 x 677221803 x 3989113139 x 1020479277 x 34529
Negative: -1 x -320325533-11 x -29120503-43 x -7449431-73 x -4388021-473 x -677221-803 x -398911-3139 x -102047-9277 x -34529


How do I find the factor combinations of the number 320,325,533?

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 320,325,533, 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.

1 320,325,533
-1 -320,325,533

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 320,325,533.

Example:
1 x 320,325,533 = 320,325,533
and
-1 x -320,325,533 = 320,325,533
Notice both answers equal 320,325,533

With that explanation out of the way, let's continue. Next, we take the number 320,325,533 and divide it by 2:

320,325,533 ÷ 2 = 160,162,766.5

If the quotient is a whole number, then 2 and 160,162,766.5 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:

1 320,325,533
-1 -320,325,533

Now, we try dividing 320,325,533 by 3:

320,325,533 ÷ 3 = 106,775,177.6667

If the quotient is a whole number, then 3 and 106,775,177.6667 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:

1 320,325,533
-1 -320,325,533

Let's try dividing by 4:

320,325,533 ÷ 4 = 80,081,383.25

If the quotient is a whole number, then 4 and 80,081,383.25 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:

1 320,325,533
-1 320,325,533
Keep dividing by the next highest number until you cannot divide anymore.

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

11143734738033,1399,27734,529102,047398,911677,2214,388,0217,449,43129,120,503320,325,533
-1-11-43-73-473-803-3,139-9,277-34,529-102,047-398,911-677,221-4,388,021-7,449,431-29,120,503-320,325,533

More Examples

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