Every natural number can be written as the products of prime numbers

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: Every real number is either a/an_______ number or a/an________ number.

A:

Q: Identify the following statement as either true or false. Every whole number is also an integer.…

A: Whether the given statement is true or false

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

A:

Q: Select all numbers that are irrational. E NIO

A: Ans:

Q: If a number is natural, then is it also a whole number?

A: To prove If a number is natural number, then it is also a whole number.

Q: How a non-terminating non-recurring decimal real number can be represented on a number line?

A: To determine a method to represent non-terminating non-recurring decimal real number can be…

Q: For each natural number n, the expression 2* – 7n - 1 is divisible by

A: Concept: Mathematical induction: Mathematical induction is a mechanism for proving a statement,…

Q: Write each of the numbers 1, 4, 9, 16, and 25 as a base raised to the second power. Explain why…

A: Given,           The numbers are 1,4,9,16 and 25.To find : Write the numbers as a base  raised to…

Q: Give an example of a number that is an integer, a whole number, and a natural number ?

A:

Q: Precisely discuss why the Number ‘2’ is a prime number

A: Here we have to discuss why the Number ‘2’ is a prime number.

Q: Every two different prime numbers are relatively prime. False True

A: In this question we need to check the given statement is true or false

Q: All prime numbers are odd.

A: We have state whether given statement is True or False. We know that  A prime number is a number…

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: Which of the following number below is an integer that is not a natural number?

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Q: If n is a natural number, the number 34n+4 – 43n+3 is divisible by: -

A: Given : To find : A positive number which can divide above expression

Q: If the decimals 0.4721, 0.4722, and 0.48 are arranged on a typical horizontal number line, which is…

A: given numbers are -  0.4721, 0.4722, 0.48

Q: Classify each real number as one or more of the​ following: natural​ number, whole​ number,​integer,…

A: Natural numbers are the numbers used for counting i.e. 1, 2, 3..... These are represented by NWhole…

Q: Determine whether each statement is true or false. 51 is a prime number. True False

A: Explanation of the answer is as follows

Q: Give an example of a whole number that is not a natural number ?

A: Consider the provided information, Give an example of a whole number that is not a natural number.…

Q: Prove: The product of an irrational number and a nonzero rational number is irrational.

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Q: Show that given any particular real number, such as I, there is NO next real number immediately…

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Q: Why is 1 is not a prime number?

A: Prime Number :- A number can be defibe as prime number it it divisible by by itself and by 1. So by…

Q: Are the natural numbers closed under addition? Choose the correct answer below. O Yes O No

A:

Q: The prime number 8191 is a

A: The smallest Mersenne prime p such that the Mersenne number M(p) = 2^p - 1 is composite. TAKE P=13…

Q: Every real number is either a/an number or a/an number.

A: Every real number is either a/an _____ number or a/an ____ number.

Q: 0alaEN,a is an even number and ac i4}

A: The set just contains those even natural numbers that are less than 14.

Q: identify all natural numbers having exactly 28 divisors.

A:

Q: Are the natural numbers closed under addition? Choose the correct answer below. O Yes No

A: Solution

Q: (325)g and (154)8

A:

Q: Are the natural numbers closed under subtraction? Choose the correct answer below. No Yes O O

A:

Q: Give an example of each of the following:(a) A natural number

A: TO write a natural number.

Q: For every natural number n, one of n-1, n, or n+1 is a multiple of 3

A: The following two steps are used to prove a statement P(n) by the principle of mathematical…

Q: Which of the following is an Integer ?

A: Given,           Ingeger number.

Q: all > 4, 2" – 1 is not a prime number.

A: Statement is false

Q: . Prove that for each natural number n, /3n +2 is not a natural number.

A: Let n be any natural number.  n=3m+k2   =3m2+6m·k+k2   =9m2+6mk+k2   =33m2+2mk+k2 Here, m and k are…

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: How to convince someone that the number 10 is not prime.

A:

Q: Provide proof of why is it that a positive real number multiplied by a negative real number yiclds a…

A: Let's find.

Q: Suppose that B and C are points on the number line . If BC = 14 and B lies at - 5 , where could be…

A:

Q: What is the first common multiple of 5 and 7 that is even num

A: Multiple of an integer d:For an integer d, if there exists a  such that n = kd, where n and k are…

Q: For each natural number n, if 3 does not divide (n² + 2), then n is not a prime number or n = 3.

A:

Q: What does the Fundamental Theorem of Arithmetic tell us about natural numbers?

A: THIS question related to number theory.

Q: Question 5 (5n)! is natural number for every natural number n. 40" n! Prove that

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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: Are the natural numbers closed under subtraction? Choose the correct answer below. O No O Yes

A: We want to find whether natural numbers are closed under subtraction or not?

Q: Every prime number is odd. True False

A:

Q: Place arithmetic symbols between the digits of the number 123 453 in such a way that after…

A: