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75 25,3 5,5,3
144 72,2 36,2,2 18,2,2,2 9,2,2,2,2 3,3,2,2,2,2
It is itself because 31 is a prime number
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
Method to find LCM of two numbers a & b:1- Find GCF of a & b.2- Find product of a & b.3- Divide the result obtained in step 2 by the GCF. The result is LCM of a & b.1- GCF of 36 & 80 = ?Prime factorization of 36 = 2x2x3x3Prime factorization of 80 = 2x2x2x2x2x5GCF = 42- Product of 36 & 80 = 28803- LCM = 2880/4 = 720