2016 What is the highest power of 15 that divides | 1000 Be careful! 15 is NOT prime.

Q: If n is a prime number greater than 3, what is the remainder when n² is divided by 12?

A: The objective of this question is to find the remainder when the square of a prime number greater…

Q: What does Prime number mean?

A: What does Prime number mean?

Q: nd the prime factorization of 238. The prime factorization is

A: Prime factorisation of the number

Q: The operation subtraction on the set of natural numbers N.

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Q: The number of integers between 1 and 500 (both inclusive) that are divisible by 3 or 5 or 7 is

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Q: Supposed repetitions are not allowed. Find the number n of three-digit even numbers that can be…

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Q: Show that a number with 30 digits cannot have more than 100 prime factors.  

A: Prime factor: A factor of a number which is a prime number. For example: consider a number 26. The…

Q: Number of integers n with 4 prime factorizations and divisible by 5, where n less than or equal 2021…

A: we shall consider all the integers less than or equal to 2021, and divisible by 5. And also having 4…

Q: A number N is divisible by 4 iff the number formed by the last 2 digits of N is divisible by 4. For…

A: We can find number divisible by 4  by using the concept given in the question

Q: How many ways can you get we get a 2 digit passcode if zeros are not allowed?

A: If zero is not allowed, The number of available digits is 9 (1,2,3,4,5,6,7,8,9)

Q: What is the sum of the two largest prime factors of 770?

A: You need to express in terms of prime factors.

Q: Use any method, list all the three digit numbers from the set {3,4,5,6} where there are no repeating…

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Q: Identify an opposite. Explain. an integer that does not have

A: Since every integer has its opposite except 0. That is, +0=-0=0 or, that means, 0 is equal to its…

Q: Sum of twin primes is divisible by 2. Select one: O True O False

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Q: How many numbers between 1234 and 1234567 are of 5? multiples of 2 or multples

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Q: Mario claims that if the denominator of a fraction I5 a decimal. Do you agree? Use an example to…

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Q: Find the number of positive integers not exceeding 104 that are not divisible by 5 or by 7.

A: In this Question we have to find the number of positive Integer between 0 and 104 which is not…

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: 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: 21 and 24 are not relatively prime numbers

A: To find: Whether 21 and 24 are relatively prime numbers or not?

Q: We know: ½ of all integers are divisible by 3 and t of integers are divisible by 7. What fraction of…

A: We need to find fraction that will be divisible by 3,7 or both.

Q: how many four-digit even numbers are possible if the leftmost digit cannot be zero? repitition is…

A: The question is to find how many 4 digits even numbers are possible if the left most digit cannot be…

Q: How many integers in between 1 and 3000, inclusive are divisible by either 5 or 7?

A: Let A and B are two sets such that then number of elements in A and B are obtained as…

Q: How many different three digit numbers can be formed using the digits 8,1,5, and 7 with repetition ?…

A: To determine: The different three digit numbers can be formed using the digits 8, 1, 5, and 7 with…

Q: Just out of curiosity, how many positive integer factors does 15! have?

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Q: 220 as a product of primes?

A: Here the given number is 220.

Q: Determine the number of integers between 100 and 500 that are divisible by 7

A: We have the integers between 100 and 500 that are divisible by 7 are 105, 112, 119, ........, 497

Q: 11. Explain what is a factorial and show an example of how to compute it.

A: A factorial of a number is the product of all positive integers less than or equal to the given…

Q: Determine the most probable next term in the list of numbers. 1024, 256, 64, 16, 4 1024, 256, 64,…

A: Given, list of numbers  1024, 256, 64, 16, 4

Q: 2. Factor 10+1 into a product of primes for k = 1,2,3,4,5.

A: