Find the Prime Factorization 75

Problem

75

Solution

1. Identify the smallest prime number that divides the given number. Since 75 is odd, it is not divisible by 2 The sum of the digits is 7 + 5 = 12,w*h*i*c*h*i*s(d(i))*v*i*s(i)*b*l*e*b*y,s(o)$ is a factor.

2. Divide the number by the identified prime factor.

75÷3=25

3. Identify the next prime factor for the quotient. The number 25 is not divisible by 3 but it ends in 5 so it is divisible by 5

4. Divide the quotient by this prime factor.

25÷5=5

5. Continue until the quotient is a prime number. Since 5 is prime, the process is complete.

6. Write the prime factorization as a product of these prime numbers.

75=3⋅5⋅5

7. Simplify the expression using exponents.

75=3⋅5

Final Answer

75=3⋅5

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