The number 170 170 has the prime factors 2, 5, 7, 11, 13 and 17. How many of the possible divisors of 170 170 are even numbers? 64 32 31 63

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: 4. Given 25_3__8 what digits must be placed in the blank to make it divisible by 9? 10 and 8 6 and 3…

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Q: The natural numbers are N= {1,2,3,..}. The prime numbers are P = {2,3,5,7...}. True or false? 7cP…

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Q: What is the prime factorization of 120? O 2.3.5 02 36 O 22-5 O 2.72

A: To find prime factor for 120

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: What are the greatest common divisors of the following pairs of integers? (a) 2³ · 3³ . 53 and 2 ·…

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

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Q: 24. What are the greatest common divisors of these pairs of integers? a) 2 .33 . 55, 25 - 33 . 52

A: Please see the answer in step 2

Q: Use the method based on prime-power representations to find the greatest common divisor and least…

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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 greatest common divisor of two number 1, b(integer) are 1 0 b O None of the mentioned O b+1 O

A: As per the definition of prime number of has only two greater common divisor out of which one is 1…

Q: Find the prime factorization of the number. 32,625 O A. 3°.52.29 O B. 3*- 29 OC. 5- 29 O D. 3?.53.29

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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…

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

A: Factorise 798.

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

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Q: 14 Jlgull The Greatest Common Divisor of two prime numbers a and bis a + b ab

A: The greatest common divisor (gcd)of two or more numbers is the largest number that divides the given…

Q: Scrambles How many distinct scrambles (re-arrangements of the letters) of the word potpourri are…

A: Given that : The word  POTPOURRI Total letters = 9 P, T R each repeated twice. Now by using…

Q: factors of 20 that add up to 9

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Q: PRODD 2 Determine whether the integer 701 is divisors. Do the same for the integer 1 Sieve of

A: Theorem for prime numbers: A number p is called prime number if there exist a number p0 such that,…

Q: Use the method based on prime-power representations to find the greatest common divisor and least…

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Q: The greatest common divisor of two number 1, b(integer) are b+1 (1) None of the mentioned

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Q: Determine P(even and multiple of 3) from a list of numbers 1 through 30

A: It is given that  There is  list of numbers 1 through 30 i.e. S={1,2,3,....,30} i.e. n(S) =30 Let us…

Q: 14. Find the greatest common divisor of the numbers. 140 and 595 The greatest common divisor of 140…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

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

A: An integer 'n' is called a factor or a divisor of another integer 'm' if 'n' divides 'm' exactly…

Q: How many integers are greater than 120, less than 540 and are divisible by 5 and 3? 26 28 None of…

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Q: How many factors must you check to see whether 113 is a prime? O 11

A: We have to find out how many factors must be check to see whether 113 is a prime or not.

Q: 3. In the following, a factor may be prime, composite or 1. Note that 6 has 4 factors (1, 2, 3 and…

A: According to the given information, For part (a) It is required to tell the positive integer with…

Q: 1. The digits 5, 6, 7, and 4 are to be arranged to form a 7-digit integer. How many different…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: What is the prime factorization of 72? O 22.33 O 24 . 6 O 2. 32 O 22.32

A: Concept : prime factorization is process of representing a number by multiplication of prime numbers…

Q: The greatest common divisor of two number 1, b(integer) are b O None of the mentioned 10 b+1 O

A: Answer is 1.

Q: Find the total number of distinct prime divisors of the number n. Identify the greatest prime…

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Q: Use the prime factorizations of 84 and 264 to find gcd(84,264) and lcm(84,264).

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Q: 11. Five people each write a positive integer on a piece of paper. If the average of these five…

A: Given,  Average of 5 integers is 8  So, sum of all integers is 40

Q: a) Describe a procedure for finding the prime factorization of an integer.b) Use this procedure to…

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Q: 42. If m is a positive prime number, how many positive integer divisors does m0 have? (A) One (B)…

A: To solve the given problem, we use the result of  prime number in number theory.

Q: For the number 360: a. Find the prime factorization of 360. b. Use the prime factorization to find…

A: Value=?

Q: 2.) Find all possible digits that can be pl 1,182,1_4 a.) Divisible by 4 Your answer

A: Given digit is : 11821_4 To find all possible digit that is divisible by 4.

Q: Wilson’s Theorem states that if n is a prime number, then n divides (n−1)! + 1. Which of the…

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Q: 8. Use divisibility tests to decide whether the given number is divisible by 2, 3, 4, 5, 6, 8, 9,…

A: Please  comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: 44. The number n can be expressed as the product of four prime numbers, exactly three of which are…

A: Concept:

Q: 24 .34. 52 is the prime factorization of a. 32,400 b. 6,480 с. 16,200 d. 5,400

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Q: 2. Find the prime factorization of the numerator and the denominator, then write the fraction in…

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Q: List all the factors of 99. 1, 3, and 9 3, 9, 11, and 33 O1,9, 11, and 99 O1, 3, 9, 11, 33, and 99

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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: IV. What are the greatest common divisors of these pairs of integers? Show your solutions. 13. 33…

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Q: The number n= 6,34d,217 is divisible by 11. Since its alternating sum of digits is 6- 3+4-d+2-1+7=…

A: Given:   Number : 89765024328a

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.