Prime Numbers

The number 287 is a prime number, which means it is only divisible by 1 and itself. In this case, the only numbers that go into 287 without leaving a remainder are 1 and 287. Prime numbers have exactly two factors, making them unique in the world of numbers.

The number midway between 19 and 53 is 36.

To draw a flow chart to determine if a given number is prime or composite, you can start with an input symbol for the given number. Then, use a process symbol to divide the number by all integers from 2 to the square root of the number. If the number is divisible by any of these integers, it is composite and the flow chart should lead to an output symbol indicating it is composite. If the number is not divisible by any of these integers, it is prime and the flow chart should lead to an output symbol indicating it is prime.

0.0156

The last digit in the product of the first 20 odd natural numbers can be determined by looking at the pattern of the units digit in the multiplication of consecutive odd numbers. The units digit of the product of consecutive odd numbers alternates between 1 and 5. Since there are 10 odd numbers between 1 and 19, and 20 is also an odd number, the last digit in the product of the first 20 odd natural numbers is 5.

Oh honey, the number 30 is as composite as a Kardashian selfie. It's made up of more factors than a soap opera plot. So yeah, it's definitely not a prime number.

To represent the number 68 using multiplication, we can use the following equations: 2 x 34, 4 x 17, 17 x 4, 34 x 2. These equations demonstrate different ways to multiply numbers to arrive at the value of 68.

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.

Well, honey, the two numbers that have a least common multiple (LCM) of 100 are any pair of numbers that, when multiplied together, equal 100. For example, 20 and 5, or 10 and 10. As long as the numbers can be multiplied to give you 100, you're good to go. Math can be a piece of cake when you know the tricks!

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.