Prime Numbers

The smallest number that has six different primes in its prime factorization is 30030 (2 x 3 x 5 x 7 x 11 x 13).

23 and 29.

Oh, dude, writing a program in C to print the first ten prime numbers? That's like asking me to juggle flaming torches while riding a unicycle! But hey, I'll give you a quick rundown: You'll need a loop to check each number if it's prime, and you'll have to keep track of how many prime numbers you've found. Just make sure to handle those edge cases like 0 and 1 not being prime, and you'll be golden. Happy coding!

A number greater than 50 with only 2 prime factors would be a semiprime number. Semiprime numbers are products of exactly two prime numbers. An example of a semiprime number greater than 50 would be 77, which is the product of the prime numbers 7 and 11.

To express 375 as a product of prime factors, we start by finding its prime factorization. We can divide 375 by the smallest prime number, which is 3, to get 125. Continuing this process, we find that 125 can be divided by 5 to get 25, and 25 can be divided by 5 again to get 5. Therefore, the prime factorization of 375 is 3 x 5 x 5 x 5, or 3 x 5^3.

Oh honey, it's simple math. 42.5k is just 42,500 written out in full. Drop the 'k' and you've got yourself a nice round number. Keep on counting, darling!

Oh, dude, the largest prime number that goes evenly into 924 is 7. It's like the cool kid at the math party, just hanging out and dividing 924 without any remainders. So yeah, 7 is the lucky number that gets to evenly divide 924, like the VIP of prime numbers.

To solve this problem, we need to consider the possible combinations of a 4-digit number and a single-digit number using all the numbers from 1 to 9 exactly once. The only way to achieve this is by multiplying a 4-digit number by a single-digit number. One possible solution is 219 x 78 = 17082, where each digit from 1 to 9 is used exactly once.

There are 89 numbers between 1 and 90, inclusive. This is because when counting the numbers between two endpoints, you subtract the starting number from the ending number and then add 1. So, 90 - 1 + 1 = 90. But since we are looking for the numbers between 1 and 90, we need to subtract 1, resulting in 89 numbers.

A dichotomous key offers two choices at each stage because it is designed to systematically narrow down the possibilities by presenting mutually exclusive options based on specific characteristics. By providing only two choices, it ensures clarity and precision in the identification process, allowing users to progress through the key efficiently without ambiguity or confusion. Adding more than two choices at each stage could complicate the key and make it harder for users to accurately identify the organism or object in question.

38

The number 1,000,000,000,000,000,000,000,000 can be expressed in numbers as 1 followed by 24 zeros. This is also known as 1 septillion in the short scale naming system. In scientific notation, this number would be written as 1 x 10^24.

Since '315' ends in '5', a prime number, we can start there.

Hence dividing by '5' , and then keep on divising by prime numbers.

5)315

3)63

3)21

7)7 = 1

Always reduce to '1'

The factoprs of 315 are 3,3,5,&7.

In exponent form 3^(2) X 5^(1) x 7^(1) .

The prime numbers between 50 and 200 are: 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, and 199. Prime numbers are integers greater than 1 that have no positive divisors other than 1 and themselves.

Oh, dude, you're hitting me with the tough questions! So, like, the number word form for the number 7 is "seven." I mean, it's pretty straightforward, right? Just say the number out loud, and there you have it!

Well, isn't that a happy little question! After 100,000 comes 100,001. Just like adding a touch of color to a painting, each number has its own special place in the sequence, creating a beautiful pattern that goes on and on. Keep exploring and discovering, my friend!

The number that, when multiplied by itself, equals 200 is approximately 14.1421. This number is the square root of 200, denoted as √200. The square root of a number is a value that, when multiplied by itself, gives the original number. So, √200 * √200 = 200.

Honey, 45 and 84 are about as prime as a grocery store avocado. They share a common factor of 3, so they are not relatively prime. It's like trying to mix oil and water - just not gonna work out.

The prime nuymbers between 10 and 35 are 11, 13, 17, 19, 23, 29, and 31.

To determine what numbers 864 is divisible by, we need to consider its factors. 864 can be divided evenly by 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 72, 108, 144, 216, and 432. These numbers are factors of 864 because they divide evenly into 864 without leaving a remainder.

Well, isn't that a happy little question! When two numbers are coprime, it means they have no common factors other than 1. In this case, 71 and 81 are coprime because the only positive integer that divides both of them is 1. Just like how each tree in a painting is unique and special, these numbers stand on their own with no shared factors except for the joy of being themselves.

Oh, dude, like, the prime factorization of 171 in exponential form is 3^2 * 19. Yeah, that's it. So, like, 171 is made up of 3 squared (which is 9) times 19. That's all there is to it, man.

The number XXXVIII is equivalent to 38 in standard Arabic numerals. In Roman numerals, X represents 10, V represents 5, and III represents 3. When these values are added together (10 + 10 + 5 + 3), the total is 38.

The prime numbers from 51 to 100 are 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97. A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. These numbers have only two factors: 1 and the number itself.