Since prime numbers only have one prime factor (themselves), factor trees are unnecessary.
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.
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.
No, multiplying a set of numbers can only come out as one product. Therefore, two numbers having the same prime factorization is impossible.
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.
3 and 7 are prime numbers whose product is 21.
The LCM of a set of prime numbers is their product.
Written as the product of only prime numbers, 60 = 2 x 2 x 3 x 5.
Since prime numbers only have one prime factor (themselves), factor trees are unnecessary.
There are only two prime numbers that are consecutive numbers, 2 and 3. Their product is 2 x 3 = 6. The first prime numbers are 2, 3, 5, and 7 and the only two consecutive prime numbers whose product is a single digit are 2 and 3. (The next two consecutive prime numbers, 3 and 5, have a two-digit product.)
Since prime numbers are defined as positive integers, any product of prime numbers will be positive.
Only if the numbers are co-prime.
The Least Common Multiple (LCM) of two prime numbers is the product of the two prime numbers. This is because prime numbers only have themselves and 1 as factors, so their LCM is simply their product.
225 cannot be factorised into the product of only 3 prime numbers.
No, because 28 can only be calculated as a product in the following ways: 1 x 28 2 x 14 4 x 7 In the above cases, 28, 14 and 4 are all non-prime numbers, which means that 28 cannot be a product of 2 prime numbers alone.
14 = 2 x 7.
There are no two numbers whose product is 23 and whose sum is 10. 23 is a prime number, and the only numbers whose product is 23 are 23 and 1. A prime number can only be divided by itself and 1.