Prime Numbers

Ah, what a happy little challenge! To get the number 13 using only the digits 1, 2, 3, and 4, you can add 1, 2, 3, and 4 together. That would give you 10, then you can add 3 to that to get 13. Just remember, there are no mistakes, only happy accidents in math!

The prime factorization of 96 is 2^5 * 3. This means that 96 can be expressed as the product of 2 raised to the power of 5, multiplied by 3. In exponential form, this would be written as 2^5 * 3.

Numbers that are relatively prime to 7 are numbers that have no common factors other than 1 with 7. The numbers 1, 2, 3, 4, and 5 are relatively prime to 7 because they do not share any common factors with 7. These numbers are not divisible by 7 and have a greatest common divisor of 1 with 7.

Well, honey, if you want two numbers that add up to 90, you could go with 45 and 45. But if you're feeling a bit more adventurous, you could also try 30 and 60. It's not rocket science, just simple math, darling.

Oh honey, you must be confused because prime numbers are only divisible by 1 and themselves, and guess what? Even numbers are divisible by 2. So, the only number that fits both criteria is 2. It's like finding a unicorn in the wild - rare and magical.

The prime numbers between 4 and 15 are 5, 7, 11, and 13. A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In this case, 5, 7, 11, and 13 meet this criteria and are thus prime numbers within the specified range.

For any two or more multiples in algebra. they are written as '2x' or 'ab' or '3ab'

NB In algebra the multiplication sign 'x' is NEVER' shown.

The '2x' means '2' multiplied to 'x' , or similarly 'ab' means 'a' multiplied to 'b'.

To find the second common multiple of two numbers, you first need to identify the least common multiple (LCM) of the two numbers. The LCM is the smallest number that is a multiple of both numbers. Once you have the LCM, you can then find the second common multiple by adding the LCM to the LCM itself. This will give you the second common multiple of the two numbers.

Well, honey, the eruption of Mount Tambora in Indonesia back in 1815 takes the cake for the largest number of casualties. It caused a whopping estimated death toll of around 71,000 people. So, if you're looking for a volcanic eruption that really made a splash in the casualty department, that's the one to remember.

Oh, dude, like, the prime factors of 770 are 2, 5, and 7. So, if you're throwing a party with 770 guests, you better make sure you have enough snacks for all those prime factors to munch on. Just imagine 2, 5, and 7 hanging out together, chatting about how they're the cool kids in the math world.

Ah, finding the sum of N prime numbers is a lovely challenge! You can create an algorithm by first defining a function to check if a number is prime, then loop through numbers starting from 2 and add the prime numbers to a running sum until you reach N prime numbers. For the flowchart, you can start with a start/end symbol, then use decision symbols to check if a number is prime, loop symbols to iterate through numbers, and a process symbol to calculate the sum. Remember to add symbols for input and output as well. Happy algorithm painting!

1, 2, 3, 4, 5, 6, 7, 8, and 10

To express 2100 as a product of primes, we need to find its prime factors. First, we divide 2100 by the smallest prime number, 2, to get 1050. Then, we continue dividing by 2 until we can no longer divide evenly. The prime factorization of 2100 is 2^2 x 3 x 5^2 x 7.

Oh, dude, you're asking me about least common multiples now? Alright, so the numbers that have a least common multiple of 100 are 20 and 100. Like, they both have 100 as a multiple, so they're the lucky winners in this math game. Cool, right?

The prime number between 20 and 30 whose ones digit is 7 greater than its tens digit is 23. The tens digit is 2, and the ones digit is 3, which is 7 greater than 2. Additionally, 23 is a prime number because it is only divisible by 1 and itself, with no other factors.

The number that, when multiplied by itself, equals 24 is called the square root of 24. The square root of 24 is approximately 4.899, as the square root of 24 is a non-perfect square. This means that there is no whole number that, when multiplied by itself, equals exactly 24.

The number 61 is a prime number, which means it is only divisible by 1 and itself. In other words, the only numbers that can go into 61 without leaving a remainder are 1 and 61. Prime numbers have exactly two factors, making them unique in the realm of numbers.

The prime numbers between 91 and 100 are 97. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. In this case, 97 meets this criteria as it can only be divided by 1 and 97 without leaving a remainder.

The number halfway between 25 and 45 is the average of the two numbers. To find the average, you add the two numbers together and then divide by 2. In this case, (25 + 45) / 2 = 70 / 2 = 35. Therefore, the number halfway between 25 and 45 is 35.

In the list provided, the numbers 9 and 15 are composite numbers. A composite number is a positive integer greater than 1 that can be formed by multiplying two smaller positive integers. In this case, 9 can be formed by multiplying 3 and 3, while 15 can be formed by multiplying 3 and 5. The other numbers in the list (3, 5, 7, 11, and 13) are prime numbers as they can only be divided by 1 and themselves without a remainder.

Oh, dude, you're hitting me with the big numbers now! So, like, the factors of 39916800 are all the numbers that you can multiply together to get 39916800, which are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and so on. The prime factors are the factors that are prime numbers, like 2, 3, 5, 7, and all their multiples. But hey, if you're not into math, that's cool too!

The factors of 49 are the numbers that can be multiplied together to give 49. These factors are 1, 7, and 49. The prime factors of 49 are the prime numbers that can be multiplied together to give 49. In this case, 49 is a prime number itself, so its only prime factor is 49.

Oh, dude, so you want me to do some math for you? Alright, let's break it down. Twice the number 50 is 100, right? And 20 less than 100 is 80. So, 20 less than twice the number 50 is 80. Boom, math wizard right here!