3 x 5 x 5 = 75
75
3 x 52 = 75
The prime power factorization of 75 is 3 x 52.
The prime factorization of 75 is 3 x 5 x 5.
3 x 5 x 5 = 75
GCF stands for Greatest Common Factor. This means that the GCF of 45 and 75 will be the greatest common factor of 45 and 75. The prime factorization of 45 is 3^2*5. Thus, a number is a factor of 45 if and only if it does not have more than 2 3s in its prime factorization, more than one 5 in its prime factorization, or any other prime factor. The prime factorization of 75 is 3*5^2. Thus, a number is a factor of 75 if and only if it does not have more than one 3 in its prime factorization, more than 2 5s in its prime factorization, or any other prime factor. Combining those two conclusions together, we get that if a number is a common factor of 45 and 75 if and only if it does not have more than one 3 in its prime factorization, more than one 5 in its prime factorization, or any other prime factor. Since multiplying by a 3 or a 5 will only increase the value of a number, there is no reason to not include them. Thus, the GCF of 45 and 75 is 3*5 or 15.
Prime factorization: It is a method to express each number as the product of prime numbers.Step 1: Which prime number divide 75?Ans: 3 and 5.But, we should start with the smallest prime number which divides 75.75÷3 = 25Step 2: Which prime number divide 25?Ans: 525÷5 = 5Step 3: We have to continuously divide each quotient by a prime number until the quotient itself is a prime number.In step 2 we are left with 5(prime number) as a quotient.So, prime factorization of 75 = product of all the quotients = 3x5x5
The prime factors of 75 are 3 and 5. The prime factorization of 75 is 3 x 5 x 5.
3x5x5
The prime factorization of 75 is 3 x 5 x 5.
The prime number is the prime factorization. For example, the prime factorization of the prime number 3 is 3. Get it?
3*5*5 = 75