Least Prime Factor of (a+b) for Value of ‘a’ being 3 and ‘b’ being 5
As discussed above, 2 is the least prime factor of (a+b) for the value of ‘a’ being 3 and ‘b’ being 5. Now let us understand what a Prime Factor is.
A natural number other than 1 whose only factors are 1 and itself is called a prime factor. Actually, 2, 3, 5, 7, 11, and so forth are the first few prime numbers. We can easily determine the prime factors of any number by doing its prime factorization. The process of writing all numbers as the product of primes is known as prime factorization.
Example - Prime factors of 12 = 2 × 2 × 3
a and b are Two Positive Integers such that the Least Prime Factor of a is 3 and and that of b is 5. Find the Least Prime Factor of (a+b).
The least prime factor of (a+b) wherein a and b are two positive integers such that the least prime factor of a is 3 and and that of b is 5 is 2. It is because the sum of two odd numbers is an even number and all even numbers can be divided by 2.
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