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Which is the largest three-digit prime number?
997 is the largest 3-digit prime.
What is the 10th prime number?
The correct answer is: 29
2, 3, 5, 7, 11, 13, 17, 19, and 23 are the first 9 prime numbers and 29 is the 10th prime number.
Which of the following is not a prime number?
The correct answer is: 81
The factors of 81 are 1, 3, 9, 27, and 81. The rest of the numbers have only 2 factors, 1 and themselves.
How many prime numbers are between 40 and 50?
The correct answer is: 3
Prime numbers between 40 and 50 are 41, 43, and 47.
Which of the following pairs of numbers are co-prime?
The correct answer is: (8, 55)
Co-prime numbers have only 1 as their common factor. Common factors of 7 and 14 are 1 and 7; Common factors of 15 and 27 are 1 and 3; Common factors of 25 and 35 are 1 and 5; Common factor of 8 and 55 is 1.
What is the greatest prime number between 80 and 90?
The prime numbers between 80 and 90 are 83 and 89. 89 is the greatest prime number between 80 and 90.
Can a prime number be negative?
No, prime numbers cannot be negative. Prime numbers belong to the set of natural numbers.
A prime number has exactly two factors, 1 and the number itself. Co-prime numbers have only 1 as their common factor. Is this true or false?
Are 13 and 31 are co-prime numbers?
13 and 31 are two prime numbers; therefore, they are co-prime to each other. (Property 2)
The factors of 13 are 1, 13 and the factors of 31 are 1, 31.
Property of co-prime numbers:
Any two prime numbers are co-prime to each other: As every prime number has only two factors 1 and the number itself, the only common factor of two prime numbers will be 1. For example, 2 and 3 are two prime numbers. 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.
They have only 1 as their common factor. So, they are coprime numbers.
Check whether 150 and 295 are co primes?
Given two number are: 150 and 295
150 and 295 are divisible by 5.
From the properties of coprime numbers, 150 and 295 are not coprime.
Alternatively,
150 = 2 × 3 × 5 × 5
295 = 5 × 59
HCF(150, 295) = 5 ≠ 1
Therefore, 150 and 295 are not coprime.
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