



 
Hi Michelle. Any positive integer can be written as a unique product of prime numbers. For example, to break 540 down to its prime factors, I simply start dividing by prime numbers:
Now I list what I divided by: 2, 2, 3, 5, 3, 3. When I multiply all these together I will get the original number:
To write this in exponential form, I just reorder it to group the prime numbers together:
And then count the number of times each factor appears:
Usually, when an exponent is 1, we don't write it because it is assumed, so our final answer is:
Now you try it by breaking down 48 into its prime factors, Michelle. Cheers,  


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