The Great est Common Divisor of two prime numbers a and b is

Q: If you want to check that 613 is a prime number using the test for primality, what is the minimum…

A: Given number is : 613 To find what is the minimum amount of number must divide into 613 to check…

Q: Write a prime number and a composite number, both under 100, that are relatively prime.

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Q: Find the prime factorization of the composite number. 1162 14x 83 23 x 83 O 72 x 83 O 2 x 7 x 83

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Q: DOference of twin primes is not divisible by 2. :Select one True False

A: We Know that Two prime numbers are called twin primes if there is present only one composite number…

Q: The number of factors of prime numbers are Depends on the prime number 3 O None of the mentioned O

A: Prime numbers are the numbers which have only two factors one factor is 1 and other factor is 2

Q: If mis odd, then m3 - mis divisible by 3.

A: We will check this for m=1 first  0 is divisible  by 3.

Q: If a and b are two distinct prime numbers, then the greatest common divisor of a and b is O ab

A:

Q: The number of factors of prime numbers are Depends on the prime number None of the mentioned (3 2

A: Given query to find number of factors of a prime number.

Q: Every natural number can be written as the products of prime numbers

A: Prime numbers are the numbers which have only two factors, 1 and the number itself.

Q: ) Find an integer having the remainders 3, 11, 15 when divided by 10, 13, 17, respec- tively.…

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Q: 11. What is the smallest prime divisor of 52020

A: We first find unit digit of Given number then use divisiblity test.

Q: The integers 77 and 105 are relatively prime.

A: Relatively Prime integers: Two integers mand n are called relatively prime if gcd(m,n)=1. Given two…

Q: Every two different prime numbers are relatively prime. False True

A: In this question we need to check the given statement is true or false

Q: All prime numbers are odd.

A: We have state whether given statement is True or False. We know that  A prime number is a number…

Q: 16. Devise a way of checking whether or not a number is divisible by 24. Test your method on 36 and…

A: 16

Q: Sum of twin primes is divisible by 2. Select one: O True O False

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Q: Use modular arithmetic and three prime values m, m2, and m3 to verify that 7425 * 625 = 4640625 %3D

A: The given two numbers 7425 and 625, write them as product of prime numbers raised to powers.…

Q: (1) The integer 123 is a prime.

A: (1) Given, the integer 123 is a prime.

Q: Is the conjecture "all prime numbers are odd" true or false? O True O False

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Q: The smallest prime numberis: 3

A: Prime number: A prime number is a whole number greater than 1 that can only be divided by itself and…

Q: The Great est Common Divisor of two prime numbers a and bis a + b ab a b O 1 0

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Q: divisors

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Q: noosing a positive integer from 100 to 999, what is the poSSibility of choosing a positive integer…

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Q: If n = p,P2 ... P where the p, are distinct prime numbers, how many ways can n be written as a…

A: First let us formulate the problem in a different way. Look! we have to find the total number of…

Q: 3. The GCF of any two distinct prime numbers is 1. (Distinct they are not the same number) means

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Q: Determine how many ti (o bom is a prime.

A: In this question, the number of times is determined when 1 appears in the multiplication table for…

Q: Why is 1 is not a prime number?

A: Prime Number :- A number can be defibe as prime number it it divisible by by itself and by 1. So by…

Q: Show that one of the prime divisors of any three-digit composite number is less than 31 prime, or…

A: A composite integer a has a prime factor p only if p≤a that is if p≥a than there exist another prime…

Q: If a, b, c, d are distinct prime numbers with an as smallest prime then a *b * c dis None of the…

A: Answer

Q: Prove or disprove: If an integer is divisible by 6 and by 10, then it is divisible by 60.

A: Answer

Q: The prime number 8191 is a

A: The smallest Mersenne prime p such that the Mersenne number M(p) = 2^p - 1 is composite. TAKE P=13…

Q: Find the value of the factorial. 7! 7! = (Type a whole number.)

A: In this case, we need to find the value of factorial of 7.

Q: Determine all natural number divisors of the given number. 335

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Q: 220 as a product of primes?

A: Here the given number is 220.

Q: True/False: Every integer greater than 1 is divisible by a prime number. True False

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Q: what is the smallest positive integer greater than 1 that divides the number 7^2021-13^2021

A: here 7×2021-13×2021  =2021(7-13)                                       =2021(-6)…

Q: Determine the possibilities for the final digit of a sixth power of an integer.

A: The last digits of a number are 0,1,2,3,4,5,6,7,8 and 9. The number 0 raised to any number will be 0…

Q: Check all the numbers that are divisors

A: The divisors of 12,210 are 2,3 and 6 .

Q: Let p > 5 be the prime number. Prove that the expression p* - 10p? + 9 is divisible by 1920.

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Q: Is 7, 8, 9, 11 are pairwise relatively prime. صواب ihi

A: Two nos. a and b are said to be relatively prime iff gcd(a,b)=1

Q: What is the value of the smallest composite number with exactly 3 distinct prime num- ber in its…

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Q: DOference of twin primes is not divisible by 2.

A: We have to find that the difference between the twin primes are divisible by 2 or not

Q: How many twin primes are there where both primes are less than or equal to 31? Number of twin…

A: Twin prime: If there is only one composite number between two prime numbers, then that two numbers…

Q: The Greatest Common Divisor of two prime numbers a and b

A: Prime numbers are those numbers which have only two factors one factor is 1 and other factor is the…

Q: Every prime number is odd. True False

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Q: what is the nunber 1'7 Composite number Neither Prime nor Composite Prime number

A: If a and b are two distinct prime numbers then, a highest common factor of a and b is, 1

Q: If a, b, c, d are distinct prime numbers with an as smallest prime then a * b * c * d is Even number…

A: Solution

Q: 27-8^n a prime? Why?

A: answer is in next step

Q: Find the sum of the divisors of 120. Generalise the result for an arbitrary natural number M

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Q: The number of factors of prime numbers are Depends on the prime number 3 0 2 0 None of the mentioned…

A: The number of factors of a prime number is 1 and prime itself. So there are 2 factors of prime…