I need to find a composite number whose factorization has seven prime numbers. Then I have to write it using exponents
There are many possibilities. For one of them, take the lowest seven prime numbers 2,3,5,7,11, 13 and 17 and multiply them together. Then if you want to use exponents, multiply a few more of the same prime numbers to the product.
For example: 2^3*3^2*5*7*11*13*17
= 6,126,100.