explain the prime factorisation method with example ( minimum 2 questions solutions)
Answers
Step-by-step explanation:
Prime factorization is defined as a way of finding the prime factors of a number, such that the original number is evenly divisible by these factors. As we know, a composite number has more than two factors, therefore, this method is applicable only for composite numbers and not for prime numbers.
For example, the prime factors of 126 will be 2, 3 and 7 as 2 × 3 × 3 × 7 = 126 and 2, 3, 7 are prime numbers.
For example, Prime factorization of;
12 is 2 x 2 x 3 = 22 x 318 is 2 x 3 x 3 = 2 x 3224 is 2 x 2 x 2 x 3 = 23 x 320 is 2 x 2 x 5 = 22 x 5
The prime numbers when multiplied by any natural numbers or whole numbers (but not 0), gives composite numbers. So basically prime factorization is performed on the composite numbers to factorize them and find the prime factors. This method is also used in case of finding the HCF (Highest Common Factor) and LCM (Least Common Multiple) of any given set of numbers.
If any two numbers are given, then the highest common factor is the largest factor present in both the numbers whereas the least common multiple is the smallest common multiple of both the numbers.
Step-by-step explanation:
Example 1 = 150
2 150
5 75
5 15
3 3
1
Prime Factors of 150= 2×5×5×3
Example 2 = 99
3 99
3 33
11 11
1
Prime Factors of 99= 3×3×11
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