Question

Which of the following is false? 1 point a) The number 2 and 3 are co-prime. b) The numbers 41 and 42 are twin primes c) The number 15,28 are composite numbers d) 1 is neither prime nor composite

Answer 1

Answer:

1 true

2 false

3 true

4 true

Step-by-step explanation:

Answer 2

Answer:

The numbers 41 and 42 are twin primes, this is a false statement.

Step-by-step explanation:

We have to find the false statement from the given data.

a) The numbers 2 and 3 are two prime numbers is the true statement.

• Because factors of 2 are 1, 2, and factors of 3 are 1, 3.
• The only common factor is 1 and hence they are co-prime.

c) The numbers 15 and 28 are composite numbers this is a true statement.

• As we know composite number is a positive integer that can be formed by multiplying two smaller positive integers.
• Every positive integer is composite, prime, or unit 1, so the composite numbers are exactly the numbers that are not prime and not a unit.

d) 1 is neither prime nor composite this is a true statement.

• As we know, the only way to get a product of one is by multiplying 1 x 1.
• And a prime number has exactly two factors, so one can't be prime.

b) The numbers 41 and 42 are twin primes this is a false statement.

• As we know, a twin prime is a prime number that is either 2 less or 2 more than another prime number.
• For example, either member of the twin prime pair (41, 43).