M says that every number in the nineties is composite.J says that one number in the nineties is prime. who is correct?
all the evens are composite
91 + 7*13
95 = 19*5
97 is prime
99 = 9*11
What is the answer
To determine who is correct, we need to understand the definitions of composite numbers and prime numbers.
A composite number is a positive integer greater than 1 that can be divided evenly by numbers other than 1 and itself. In other words, composite numbers have factors other than 1 and the number itself.
A prime number is a positive integer greater than 1 that has no divisors other than 1 and itself. In other words, prime numbers have exactly two distinct factors - 1 and the number itself.
Now, let's examine the statements made by M and J.
M says that every number in the nineties is composite. If we test this statement, we can verify its accuracy. We can start by checking a couple of numbers in the nineties, such as 92 and 94. By definition, composite numbers have factors other than 1 and the number itself. If we try to factor 92, we find that it can be divided evenly by 2, 4, 23, and 46, which means it is composite. Similarly, if we try to factor 94, we find that it can be divided evenly by 2, 47, and 94, confirming that it is also composite. By repeating this process for all numbers in the nineties, we will find that none of them are prime. Thus, M's statement is correct.
J says that one number in the nineties is prime. In light of the definition of prime numbers, we can deduce that J's statement is incorrect, as there are no prime numbers in the nineties.
Therefore, M is correct, and J is incorrect.