Question

what are the total numbers of divisors of 600

Answer 1

600 factors as 2^3*3*5^2. (This is an easy enough prime factorization to find by hand using, for instance, a factor tree.) The total number of divisors of a number is the product of one more than each exponent in its prime factorization, so the total number of divisors of 600 is (3+1)*(1+1)*(2+1)=4*2*3=24 factors.

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