1) 1. Determine which of the following integers are prime, if they are composite show the prime factorization. a) 7902 b) 202 c) 83 d) 241 e) 331 f) 439

Q: Find the number of positive integer divisors of a) 36 b) 99 c) 144 d) 2-3-5-7-11-13-17-19 e)…

A:

Q: 1): For which values of n is n div 5 = -6? A): n = -30, -29, -28, -27, and -26. B): n = -30, -15,…

A: see below the answer and explanation

Q: 9. using prime factorisation, find the HCF of (i) 2622, 1653 (ii) 1891, 1098 10.Check whether 12"…

A: We have to find out hcf

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

A: There are infinitely many twin primes, or pairs of primes that differ by 2. For example, 3 and 5, 5…

Q: 1. Let A = {m,2m,3m,...} where meP; that is, Aconsists of the positive integers of т. Find: a) ANA,…

A:

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: 10. How many positive integers between 100 and 999 inclusive a) are divisible by 7? b) are not…

A:

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: Classify each number below as: a) a natural number b) an integer c) a rational number d) an…

A:

Q: Which of the following represents the expression as a single power (104) (107) 10⁹

A:

Q: Find a remainder a) 1989 1990 b) 9100 on 8. . after dividing 1991 1992³ on 7;

A:

Q: Determine the solution explicitly of the following differential equation x(y^2) y' -(y^3) =1

A:

Q: that 10348+4303 is divisible by 47. the remainder of 123 is divided

A:

Q: modulo 5   B).  Evaluate 31mod5

A:

Q: nd a) the greatest common divisor (GCD) and b) the least common multiple (LCM). 20, 80, and 128 The…

A:

Q: 8.  Identify the prime factorization of the... GCD of 20,270,250 and 13,728. LCM of 20,270,250 and…

A:

Q: If p - 2, p , and p + 2 are all prime, the only possible value of p is A) 3 B) 5 C) 59 D) 89

A:

Q: Find a) the greatest common divisor (GCD) and b) the least common multiple (LCM). 100 and 120 a) The…

A: Solution

Q: EXTENSIONS Given any seven different non-zero digits, what placement of the digits in a two-digit…

A: Let's consider the seven non-digit numbers to be: 3, 4, 5, 6, 7, 8, 9. A four-digit number and…

Q: *) The following number has a missing digit x, n = 13645x04142250 a) If n is divisible by 9, then x…

A:

Q: 14) You will likely want to have a calculator handy for this question. a) Create several three-digit…

A: a Let, number be 321so, 321-123=198                        =2×99Let another number be 794so…

Q: . Select the sets) of numbers that are subsets of rational numbers. a. Integers only b. Whole…

A:

Q: 5. Find the number of positive integers less than 700 that are divisible by 3 but not divisible by…

A:

Q: dentify each number as prime or composite. Then list all the factors. 5) 2 6) 37 7) 27 8) 54 9)…

A: Prime number : the natural number which has factors 1 and number itself is called prime number.…

Q: A). For how many three digit numbers (100 to 999) is the sum of the digits even? (For example, 343…

A: Let xyz is there digit number x has choice 1,2,...,9 while y and z has choice 1,2,...9  So that…

Q: 1. Find the sum of the positive integer divisors of a) 35 e) 2-3-5-7-11 b) 196 f) 25345³7²11 c) 1000…

A:

Q: How many different ways can 8 players among those 24, qualify for the quarter-finals?

A: Here AS PER POLICY I HAVE CALCULATED 3 SUBPART PLZ REPOST FOR REMAINING PARTS a tournament if there…

Q: dmun IsnoitAT 6 21 5. a) Why are 49 and 16 rational numbers? erdh wond uo b) Why are /21 and 36…

A:

Q: What are the prime factors of 48

A:

Q: Consider integers from 1,000 to 9,999. Then, answer the following questions. a) How many even…

A: From 1000 to 9999 all are 4 digit numbers , So we need to filled up four places to get the number .…

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: Each of following has 9 as a factor except: A) 18,018 B) 18,081 C) 81,180 D) 81,181

A: A) 18,018 B) 18,081 C) 81,180 D) 81,181To find which of the following does not have 9 as a factor

Q: a. Using the divisibility criterion by 11, verify that 11 is an element of the factorization of…

A:

Q: у" — Зу' %3D 2е2х sin x

A:

Q: Find the prime factorization of 99. The prime factorization is

A:

Q: 8. Given that the number 8881 is not a prime number, prove that it has a prime factor that is at…

A: