Question 9: Express 52224 and 202125 in term of prime factors

Q: How might you tell if a number is even or odd in bases two, three, four, five, six, seven, eight,…

A: Given data:- The given numbers are 2, 3, 4, 5, 6, 7, 8, 9, 10 Explain the generalize to bases of n.

Q: The number of factors of prime numbers are None of the mentioned O 30 Depends on the prime number

A: No. Of factor of prime no. Means how many divisor consist of a prime no.

Q: Find the prime factorization of 793169. To show your work you must use Theorem 2

A: Consider the equation

Q: Question 9 What are the prime factors of 30?

A:

Q: ..y yun.. 40mA B: Give the prime factorization of the number 34417

A: 34417= 127×271 The only divisors of 127 are 1 and 127 itself this implies that 127 is a prime…

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: Expand (3x - 2)5  using Pascal’s triangle

A: Expand (3x - 2)5  using Pascal’s triangle

Q: 2.269910988417 x 10^23 so what will i use to bring it down to under 100 ? how to divide it ?

A: so to bring it down 100 we just divide it by number x we now have to find the value of x

Q: Question 2 What is the least common multiple (LCM) of 3b, 76 and b- O 2162 O 21b O 2164 O 2163

A:

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

A: Prime number is only divisible by 1 and that number itself

Q: What are the coefficients of æ5000 and æ4999 in the simplified expansion of (5æª – 2)²2021?

A:

Q: Question 9 ( What can we do to show that 313 is prime? We can determine whether the smallest prime…

A: Prove that 313 is a prime number.

Q: If x is an odd integer then 5x – 7 is an even integer.

A: 5 and x are odd integers. Multiplication of two odd integers is always odd. Hence, 5x is an odd…

Q: Use Pascal's triangle to expand the binomial. 6 (d– 5y)º

A:

Q: How can I quickly tell that x + 6x + 7 is prime?

A: Prime quadratic equation can not be factored or it can not have rational roots. In order to find if…

Q: In a certain province license plates have 2 upper case letters followed by 3 digits.  How many…

A: Let m be the event that the number of plates starts with A. Let n be the event that the number of…

Q: Show that n22-1 is division by 8, if n is an odd positive integer

A:

Q: The integers 77 and 105 are relatively prime. صواب İhi

A: By finding the factors of given numbers you can find the solution :

Q: Suppose a city's population is 740,000. If the population grows by 12,620 per year, find the…

A:

Q: composite. 10. Suppose that n = 2³ × 5² × 7 × 17³. Give the prime factorization of n² and nº (Hint:…

A:

Q: Find AC. -у + 23 B by бу + 2 Al

A: As per guideline , one question at a time:

Q: Show that n2-1 is division by 8, if n is an odd positive integer

A:

Q: Show that x2 + 9 is prime.

A: To show x2 + 9 is prime.

Q: Expand the expression using the Binomial Theorem and Pascal's Triangle:   (2x + 1)^3  =   ________…

A:

Q: Q2: Use Fermat's method to analyze the number into its * prime factors (1745)

A:

Q: Find ged(92928, 123552) and lem(92928, 123552) and verify that the ged(92928, 123552) x lem(92928,…

A: Prime factorization of 92928 is  92928=2×2×2×2×2×2×2×2×3×11×11=28×3×112 and…

Q: How many munbers from 1 till 10000 are NOT divisible by 3, 8, 16 and 7?

A: Here, we have to find the total numbers from 1 to 10000 are not divisible by 3, 8, 16, and 7.  Let A…

Q: of its prime factors. 2. 24

A:

Q: Do you think it is worthwhile, or useful, to solve the puzzles proposed in Euclid's theorem of…

A: The objective is to solve the puzzles proposed in Euclid's theorem of primes There are infinitely…

Q: So what's the final value of x1 x2 x3 and x4? indivually

A: Answer :  No value  the system of equations does not converge to any value. so there doesn't exist…

Q: In a certain province license plates have 2 upper case letters followed by 3 digits.  How many…

A: According to the given information, it is required to find the number of possible license plates.

Q: Problem B Show that 3. 4" + 51 is divisible by 3 and 9 for all positive integers n.

A: We need to show that 3·4n+51 is divisible by 3  by using the principle of mathematical induction…

Q: Q2: Use Fermat's method to analyze the number into its prime factors (1745)

A: We have to find prime factorisation of 1745 using Fermat's method.

Q: Problem 1. Using prime factorization, find gcd(900, 140) and lcm(900, 140).

A: We find l.c.m and g.c.d  by prime factorization

Q: use your own words to describe the steps of the method of mathematical induction

A: We have to write the steps for method of mathematical induction

Q: QUESTION 8 Find the smallest integer greater than 100 that is divisible by 3 but leaves the…

A:

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: The number of primes of the form n³ – 1 is 1) 1 2) 2 3) Infinite

A: To choose correct option

Q: Can you think of the smallest number N such that ot can be expressed as a product of the two factors…

A: We have to find out the number N that can be expressed as a product of the two factors which are…

Q: Show 3^1728 ≅ 1mod19 Please do this using the method where you start with 3 to smaller powers and…

A:

Q: If n is an even integer, then 3n° is an even integer.

A:

Q: Show that every odd integer is the difference between two consecutive perfect squares.

A:

Q: composite. 10. Suppose that n = 2³ x 5² × 7 × 17³. Give the prime factoriz= (Hint: Do not work too…

A:

Q: 8. Show that no prime number of the form 4k +3 can divide a number of the form n2 + 1.

A:

Q: 5 2. (-3-2)

A:

Q: Show that n22-1 is division by 8, if n is an odd positive integer

A: If n is a odd positive integer n can be written as   n = 2k+1 by substituting in n2-1 n2-1 =…

Q: ss the following as a factorial: 6 x 5 x 4 x 3x 2 x

A: The factorial function tells us to multiply all whole numbers down to 1 from the selected number.

Q: Expand (2r- 3) using Pascal's Triangle.

A: Expand (2x - 3)3 using Pascal triangle. According pascal triangle we use n value and take row of…

Q: How can I quickly tell that x2 + 6x + 7 is prime?

A: a prime quadratic equation can not be factored or it can not have rational roots.

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…