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

Q: Let p>5 be the prime number. Prove that the expression p4-10p2+9 is divisible by 1920.

A: Let, p>5 be the prime number. Prove that the expression p4-10p2+9 is divisible by 1920.

Q: factors of 24 that add up to 10

A: factors of 24 that add up to 10

Q: The prime factors (without repetitions) of 17325 are О 2,5, 7 О 3, 7, 11 О 5,5, 7 О 3, 7, 11 О 3,5,…

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Q: 7. The number 2022 has three distinct prime factors, a, b, and c. The number 2022! can be factored…

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Q: 21. Find two different factorizations of the number 21 into primes of the form a + b v-2, where a…

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Q: A number that has exactly 2 factors (1 and itself) is called a number. * O factors O prime O…

A: We have asked if a number that has exactly 2 factors (1 and itself) then what kind of number is…

Q: Difference of two distinct prime numbers is? Ngne of the mentioned Odd and prime ADl of the…

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

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Q: 8) The number 4050 can be factored into prime divisors as: 2 x 3 x 3 x 3 x 3 x 5 x 5 a) Determine…

A: We have to solve

Q: Let be the prime number p>5. prove that the expression p^4-10p^2+9 is divisible by 1920

A: First we will expand the given expression p4-10p2+9⇒ p4-10p2+9=p4-9p2-p2+9⇒…

Q: If a, b are two distinct prime number than a highest common factor of a, b is: (2 ab

A: HCF of two numbers is found out by taking common prime factors from both the numbers the…

Q: 9. Which of the following prime numbers is not a factor of the integer 330? (1) 11 (3) 3 (2) 7 (4) 5

A: to select not factor of 330

Q: Difference of two distinct prime numbers is? All of the mentioned Eyen and composite Odd and prime…

A: Every prime member except 2 is an odd number.  So every prime number except 2 can be expressed into…

Q: ) TucIUrS does 19* × 114 × 2° have? 14. If p, q, and r are different primes, how many factors does…

A:

Q: Sum of two different prime number is a Either Prime or Composite Composite number Prime number None…

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

Q: use prime factorizations to find the gcf of each set of numbers  42 and 70? 27, 45, and 54?

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Q: 1) 1. Determine which of the following integers are prime, if they are composite show the prime…

A: Solution:  To determine the following integers are prime

Q: The number 170 170 has the prime factors 2, 5, 7, 11, 13 and 17. How many of the possible divisors…

A: To find out all the possible divisors which are even we need to make a combination of every number…

Q: W found that 2,3,5,7 and 11 are not factors of 211. Can we conclude that 211 is prime? Why or why…

A: To check whether 211 is prime number on not.

Q: Find the prime factorization of the following number. 156 The prime factorization of 156 is

A: Given number is 156.

Q: 3. Which of the following integers are divisible by 3? Of those that are, which are divisible by 9?…

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Q: . Which of the following prime numbers is not a factor of the integer 330? (1) 11 (3) 3 (2) 7 (4) 5…

A:

Q: Let h be a prime number and let k be some integer. What are the possible values of ged(h+k, h-k)?

A: We have given that ,  h be any prime number and k be some integer. We need to find possible values…

Q: 2. Determine the highest power of 5 that divides each of the following positive integers. a) 112,250…

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Q: Find all the prime numbers in z6 z6 z8 z8 z11 z11

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Q: To which rational number subset(s) do the following numbers belong? 0, 2, 4, 8, 10, 12 A. integers,…

A: Consider the numbers  0,2,4,6,8,10,12

Q: Prore the only prime of the form n°-4 is 5.

A:

Q: Fermat's theorem is not true for some prime number. Select one: O True O False

A: Fermat's theorem states that if p is a odd prime number, then for any integer a, the number ap − a…

Q: factors of 20 that add up to 9

A:

Q: Show that II (1-) < II p° perfect = n = p*||n p*||n Hint: The following formula should prove useful:…

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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: 2. Prove that võ ¢ Q. You may also use the following facts without proof. (1) Each rational number r…

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

A: Given a,b,c,d are distinct prime numbers with a as smallest prime. Then, a*b*c*d=_________

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: How many positive integers greater than 5 and less than 2020 are divisible by 7? are divisible by…

A: 1) Here , 2020/7 = 288.57 So 288 multiples of 7 are there between 5 to 2020 So , 288 integers are…

Q: how many pairs of primes p and q are there such that q-p=3? Prove your answer.

A: Here, we need to find all the possible pairs of prime numbers p and q such that the difference (q-p)…

Q: In the Sieve of Eratosthenes for numbers less than 100, explain why, after crossing out al the…

A: Given In the sieve of Eratosthenes for the numbers less than 100 , Explain why, After crossing out…

Q: Let p>5 be the prime number.Prove that the expression p4-10p2+9 is divisible by 1920.

A: Given: Let p&gt;5 be the prime number

Q: 8n? a prime number for every n = 1, 2, 3, . ...

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Q: How many permutations are there of the letters in the following word, if all the letters are used…

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Q: The n in X" indicating the number of factors of X.

A: solution:

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

A:

Q: 22 Jlgull The number of factors of prime numbers are None of the mentioned O 2,0 3 0 Depends on the…

A: 2

Q: Let n = 2 x3 x 5 ×7 × 11 × 13 + 1. a) What is n ÷ 2, n ÷ 3, n ÷ 5, n ÷ 7, n ÷ 11, and n+ 13? b) What…

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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: 58. The integer k is the product of four different prime numbers. If k divided by 22 is a multiple…

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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: The number 42 has the prime factorization 2 3 7.  Thus, 42 can be written in four ways as a product…

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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…

Q: 1. What is the smallest number that can be exactly divided by 2, 3, 4, 5 and 8? 120 20 12 24 2. What…

A: A detailed solution is given below.