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How do you express the prime numbers in factor tree method?
Since prime numbers only have one prime factor (themselves), factor trees are unnecessary.
Can you find the LCM of a prime number?
No. You can only find the LCM of at least two numbers, prime or otherwise. The LCM of any two prime numbers is their product.
Is the product of two prime numbers also prime?
No, the product of two prime numbers is not prime. It cannot be. By definition a prime is only divisible by itself and 1. Any other product is therefore composite, ie non-prime. == == No. Anytime 2 prime numbers are multiplied, they form a composite number. According to number theory 0 and 1 are neither composite nor are they prime. So 1 * 3 = 3 is prime, but it isn't the product of prime numbers. 3 * 3 = 9 which is composite. However any product of 2 primes will only have 2 prime factors.. so 5 * 7=35 can only be broken down to 5 * 7 or 7 * 5.Remember 1 isn't prime, but is commonly mistaken as being prime.
Can two numbers have the same prime factorization?
No, multiplying a set of numbers can only come out as one product. Therefore, two numbers having the same prime factorization is impossible.
What is the Product of two consecutive prime numbers?
There is only one pair of consecutive prime numbers, and the prime numbers are two and three, because any pair of consecutive numbers has one odd and one even number, and two is the only even prime number, because all other even numbers can be divided by two, and the only pairs of consecutive numbers are one and two and three, but one is not prime because it only has one factor, thus making the only consecutive pair of primes two and three. But the problem asks for the product of the two numbers, not the numbers themselves, so just multiply two and three together to get a final result of six.
