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Prime Numbers

A prime number is a number that has exactly two factors: 1 and itself. All whole numbers greater than 1 are either prime numbers or can be written as the product of prime numbers. There are an infinite number of prime numbers, but they occur less frequently among larger numbers. Prime numbers are important in cryptography and number theory.

30,833 Questions

Express 72 as a product of its prime factors?

To express 72 as a product of its prime factors, we first identify the prime numbers that can divide evenly into 72. We start by dividing 72 by the smallest prime number, 2, which gives us 36. Then, we divide 36 by 2 again to get 18. Next, we divide 18 by 2 to get 9. Finally, we divide 9 by 3 to get 3. Therefore, the prime factors of 72 are 2 x 2 x 2 x 3 x 3.

Is 751 a prime number?

To determine if 751 is a prime number, we need to check if it has any factors other than 1 and itself. To do this, we can try to divide 751 by prime numbers starting from 2. If we find any factor other than 1 and 751, then 751 is not a prime number. In this case, after checking, we find that 751 is not divisible by any prime numbers other than 1 and 751 itself, so 751 is a prime number.

What number between 20 and 25 is a prime number?

Oh, let's take a moment to appreciate the beauty of numbers! Between 20 and 25, the number 23 is a prime number. It stands tall and strong on its own, with only two factors - 1 and itself. Just like a happy little tree, standing proudly in the sunlight.

How can you write 34 as a product of prime factors?

Oh, dude, writing 34 as a product of prime factors is like breaking down a math problem while trying not to fall asleep. So, you start by dividing 34 by the smallest prime number, which is 2, and you get 17. Then, you're left with 17, which is already a prime number, so that's it. 34 written as a product of prime factors is 2 x 17. Easy peasy, lemon squeezy.

How do you make 92 with consecutive numbers?

To make 92 with consecutive numbers, you can use the formula for the sum of an arithmetic series: n/2 * (first number + last number) = 92. Since we are looking for consecutive numbers, the first number can be 45 and the last number can be 47. Plugging these values into the formula, we get 3/2 * (45 + 47) = 3/2 * 92 = 92, so the consecutive numbers 45, 46, and 47 add up to 92.

What is the sum of all prime numbers between 30 and 60?

They are: 31+37+41+43+47+53+59 = 311
The sum of all prime numbers between 30 and 60 is 311.

Is the number 71 a prime number or a composite number?

Well, hello there! Let's paint a happy little picture with numbers, shall we? The number 71 is a prime number because it can only be divided by 1 and itself, creating a beautiful and unique pattern. Embrace the simplicity and elegance of prime numbers, my friend, they are truly special in the world of mathematics.

What are all the composite numbers from 1 to 600?

Composite numbers are positive integers greater than 1 that have at least one divisor other than 1 and itself. To find all the composite numbers from 1 to 600, we need to identify those numbers that are not prime. Prime numbers have only two divisors: 1 and the number itself. By eliminating prime numbers from the range of 1 to 600, we can determine the composite numbers, which include 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, and so on, up to 600.

Are 26 and 39 relatively prime?

Two numbers are considered relatively prime if they share no common factors other than 1. In this case, 26 and 39 are not relatively prime because they have a common factor of 13 (13 is a factor of both 26 and 39). Therefore, 26 and 39 are not relatively prime.

Can a composite number be factored into a prime factor?

Oh, dude, of course! A composite number is just a number that can be broken down into smaller numbers, like a Lego set. And prime factors are the prime numbers that multiply together to give you that composite number. So, like, yeah, you can totally factor a composite number into prime factors. It's like breaking down a complicated recipe into its basic ingredients.

What are the prime numbers between 110 130?

The prime numbers between 110 and 130 are 113, 127. Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves. To determine if a number is prime, we need to check if it is divisible by any number other than 1 and itself. In this case, 111, 115, 117, 119, 121, 123, 125, and 129 are not prime as they have divisors other than 1 and themselves.

The difference between 9 and 3 is?

If you mean the subtraction result between them then 9 - 3 = 6

Otherwise, 9 is a composite number & 3 is a primary one.

Write 75 as a product of prime factors?

Prime factorization is the finding which prime number multiply to get to make the original number.

Factors of 75: 1, 3, 5, 15, 25, 75

Prime factors: 3, 5

3 x 5 x 5 = 75

What is the probability of getting 5 numbers in a lottery of 36 numbers?

Oh, dude, let me break it down for you. So, if you're picking 5 numbers out of 36 in a lottery, the probability of getting all 5 correct is like super low. It's actually 1 in 376,992. So, good luck with that, but maybe save your money for something more practical, like, I don't know, avocado toast or something.

What is a prime factorization?

A prime factorization is the process of breaking down a composite number into its prime factors, which are numbers that are only divisible by 1 and themselves. This is typically done by dividing the number by the smallest prime number possible and continuing to divide the quotients by prime numbers until only prime numbers remain. The prime factorization of a number is unique, and it can be represented as a product of prime numbers. For example, the prime factorization of the number 24 is 2 x 2 x 2 x 3, or 2^3 x 3.

What are the prime numbers between 30 and 40?

The prime numbers between 30 and 40 are 31, 37. A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In this range, 31 and 37 are the only prime numbers because they are not divisible by any other numbers except for 1 and themselves.

What numbers are greater than 6?

Well, isn't that a happy little question! Numbers greater than 6 are like little rays of sunshine peeking through the clouds. You can find them by looking at 7, 8, 9, 10, and so on, all the way up to infinity. Just imagine each number as a colorful brushstroke on the canvas of mathematics, creating a beautiful and endless landscape of possibilities.

What is the smallest prime number from 1 to 100?

The smallest prime number is '2' (TWO).. It is also the only even prime number.

What equation could help you find the highest prime number?

There isn't one!!!! The world's best mathematicians have been researching this one for years.

What number is divisible by 2 3 5 9?

Well, isn't that just a happy little question! To find a number that is divisible by 2, 3, 5, and 9, we can look for the least common multiple of these numbers. In this case, the least common multiple of 2, 3, 5, and 9 is 90. So, any multiple of 90 will be divisible by 2, 3, 5, and 9.

What numbers between 67 and 113 is a multiple of 5 8 and 10?

To find numbers between 67 and 113 that are multiples of 5, 8, and 10, we need to find the least common multiple (LCM) of 5, 8, and 10, which is 40. We then need to find the multiples of 40 within the range of 67 to 113. The multiples of 40 within this range are 80 and 120. However, only 80 falls within the specified range, making it the only number between 67 and 113 that is a multiple of 5, 8, and 10.

List all prime numbers greater than 20 and less than 40?

5x5=25 6x6=36 the only two prime numbers b/t 20 and 40 are 25 and 36