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Answers
Answer:
A)3
B)4
C)1
D)2
Step-by-step explanation:
A prime number is a natural number which is divisible only by itself and 1. All other numbers are composite numbers (except 1, which is neither prime nor composite)
Now, co-prime numbers are two or more numbers which do not have any prime number common in their prime-factorization. For example,
Consider, 28 and 75:
28=2^2∗7 ;
75=3∗5^2 .
Thus, these two numbers have mutually exclusive prime numbers that compose them, viz.: 2 and 7 for 28; 3 and 5 for 75. Such numbers are called co-prime numbers. 22, 15, and 91, is an example of three co-prime numbers, as the prime numbers composing these are (2, 11), (3, 5), and (7, 13), respectively.
A semiprime is a natural number that is the product of two prime numbers. The two primes in the product may equal each other, so the semiprimes include the squares of prime numbers. Because there are infinitely many prime numbers, there are also infinitely many semiprimes.
(or)
A semiprime (also called biprime or 2-almost prime, or pq number) is a natural number that is the product of two (not necessarily distinct) prime numbers.
The semiprimes less than 100 are 4, 6, 9, 10, 14, 15, 21, 22, 25, 26, 33, 34, 35, 38, 39, 46, 49, 51, 55, 57, 58, 62, 65, 69, 74, 77, 82, 85, 86, 87, 91, 93, 94, and 95.
A)(77,33) = (7*11,3*11)
Here ,both numbers are product of two prime numbers,so they are semi primes,but have common prime factor, 11, so it is not a coprime numbers.
B)(75,88) = (3*5^2,11*2^3)
Here,Both are not a product of prime numbers,so they are not a semiprime,but they don't have any prime number as common factor,so they are coprime numbers.
C)(69,77) = (3*23,7*11)
Here, Both numbers are product of two prime numbers,so they are semi prime numbers,and they don't have any prime number as common factor,so they are coprime numbers.
D)(56,63) = (7*2^3,7*3^2)
Here, Both numbers are not the product of two prime numbers,so they are not semi prime numbers,and they have prime number,7 as common factor,so they are not coprime numbers.
Hope u understand ....
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