Find the prime factorization of (2) and of 20!. 10

Q: Find all primes that are the difference of the fourth powers of two integers.

A: Let the two integers are x and y and n is prime so we have  n=(x4-y4)       (suppose x>y)…

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: Factor 8051 into its 2 prime factors.

A: To find the 2 prime factors of 8051

Q: Find the least positive integer that yields the remainders 1, 3, and 5 when divided by 5, 7, and 9,…

A:

Q: Find the value of the permutation. 9P1

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: 12 Find the term of (a – 3b)" that has b in it.

A:

Q: Find the largest value of n such that: >(3k - 8) < 2021. k=1

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the largest value of n such that: > (6k – 8) < 3000 k=1

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: A boy imagined a four digit multiple 0f 5 with different digits.if the first digit is erased the…

A:

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

A:

Q: Discrete Math

A: According to the given information, Suppose that:

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: of the n robabilit

A:

Q: A supermarket wants to send codes for $0.25 off a bag of chips to its rewards program members. Each…

A: The answer is attached below,

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: How many integers 2 ≤ n ≤ 65 have no prime divisor less than or equal to ¹/³?

A:

Q: 4. Find the largest value of n such that 2"|16!.

A:

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?-5°- 29

A:

Q: A prime number that is a common factor of 20 and 32 ?

A: Consider the given positive integer 20 and 32.In order to find the prime factor of 20 and 32, first…

Q: Choose all the factor pairs of 54 O -3 and -18 2 and 27 6 and -9 7 and 8 -2 and 27 -6 and -9 -1 and…

A:

Q: Use the binomial theorem to prove that 2^k * "n choose k"  =. 3^n.

A: Binomial theorem: The statement of binomial theorem is given below:

Q: 10. If the volurne of a box Is represented by the expression (x-3x2-10x+ 24) cm³ and its width Is…

A: We have to solve given problems :

Q: Find the sum of all integers that are multiples of 3 from 4 to 100.

A: We have to find the sum of all integers that are multiples of 3 from 4 to 100 Then, If A denotes the…

Q: Find the smallest integer greater than 100 that is divisible by 3 but leaves the remainder 1, 5 when…

A: To find- Find the smallest integer greater than 100 that is divisible by 3 but leaves the remainder…

Q: Amani is trying to find the value of the 4th coefficient in the 10th row of Pascal's Triangle. Which…

A: Amani is trying to find the value of the 4th coefficient in the 10th row of pascal's Triangle. The…

Q: of its prime factors. 2. 24

A:

Q: Find the term containing A6 in the expansion of (A +3B)^10.

A: To find the term containing A6 in the expansion of A+3B10.

Q: If x is the greatest prime factor of 39 and y is the greatest prime factor of 72, what is the value…

A:

Q: What is the coefficient of p5q5 in the expansion of (p+q)10?

A:

Q: Suppose that 2% of a population carries antibodies to a virus. For a research project, you need 8…

A: Given that 2% of the population carries antibodies to a virus. Hence the probability that a person…

Q: Choose the prime factorization of 12 O 2.3 10 O 23.3.5 o 10 12 O2.5.12

A: to find prime factorization  Start by dividing the number by the first prime number 2 and continue…

Q: Find all prime numbers pand of for which 2p²q + 45 pp ² = y² 2 де

A: Given:

Q: Show that n! > 3ª for n > 7.

A: The given inequality is, n!&gt;3n We need to prove that, the inequality is true for n≥7 Firstly,…

Q: Find the largest negative integer leaves a remainder 2 when divided by 3, 5, and 12. (If it is not…

A: Let us  solve the question in the next step.

Q: The prime factorization of 7007 is D113.13 O11:13 3.11.13 7.11.13

A:

Q: Given that 7,999,999,999 has at most two prime factors, find its largest prime factor.

A: 7,999,999,999 has at most two prime factors, We have to find its largest prime factor.

Q: Find the GCD and LCM of the 2 214 and 25 125 using prime factorization

A: GCD=3 LCM=18542250

Q: (c) Show that for 2" > 4n for n ≥ 5.

A:

Q: 5. A convenient way to find the product of two binomials is to use themethod.

A:

Q: How many negative divisors has the integer 90?

A: The divisors of 90 are all the numbers that we can evenly divide into 90.

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

A:

Q: for D that makes the questions successful. 6465D39 divisible by nine. 

A: Given the number is 6465D39. All values of D are found such that it is divisible by 9.

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

A:

Q: 4. Find them if: (a) lcm of two consecutive positive integers is 812; (b) lcm of twin primes is 899.

A: