Prime Numbers

In a local election for mayor, there were 2 candidates running. 10000 total votes were cast and Candidate A received 648 more votes than Candidate B. Calculate percentage votes each candidate received.

On a number line, 2.6 would fall between 2 and 3. The number line represents the continuum of real numbers, with each point corresponding to a unique value. So, 2.6 would be located closer to 3 than to 2 on the number line.

It is: 2^3 times 3 times 5^2 = 600

Well, darling, 151 is a prime number, so the only way to multiply two numbers to get it is by multiplying 1 and 151. So, there you have it, 1 and 151 are the dynamic duo that multiplies to 151. Math can be a real hoot, can't it?

The maximum difference is 8, between 89 and 97.

The numbers 10007, 10009, 10037 and 10039 are prime.

Oh, dude, drawing a flowchart for printing prime numbers from 1 to 100 using a while loop in C? That's like asking me to explain quantum physics while juggling flaming torches. But hey, you basically start with a start symbol, then draw a decision box to check if a number is prime, and loop back until you reach 100. Just remember to add some arrows and shapes, and you're good to go!

To express 4680 as the product of prime factors, we first need to find its prime factors. We start by dividing 4680 by the smallest prime number, which is 2. This gives us 2340. Continuing this process, we find that 2340 = 2 x 2 x 3 x 5 x 13. Therefore, the prime factorization of 4680 is 2^3 x 3 x 5 x 13.

3 + 3 + 5 = 11

3 + 3 + 7 = 13

3 + 5 + 7 = 15

3 + 3 + 11 = 17

3 + 5 + 11 = 19

3 + 7 + 11 = 21

3 + 7 + 13 = 23

3 + 11 + 11 = 25

5 + 11 + 11 = 27

7 + 11 + 11 = 29

Oh, dude, you're hitting me with the math questions, huh? So, like, the factors of 1760 are numbers that can be multiplied to give 1760, and the prime factors are the prime numbers that multiply together to give 1760. Let me break it down for you - the factors of 1760 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 352, 440, 880, and the prime factors are 2, 2, 2, 2, 5, 11. Cool, right?

There are 15 prime numbers between 50 and 150. To find them, you would need to systematically check each number within this range to see if it is divisible only by 1 and itself. The prime numbers between 50 and 150 are 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, and 113.

Oh, what a happy little question! Let's find those prime numbers together. Between 20 and 42, we have the prime numbers 23, 29, 31, and 37. Just like painting, sometimes you have to look a little closer to find the true beauty hidden within the numbers.

To find the largest 2-digit number that is a factor of 3375, we need to factorize 3375 into its prime factors. 3375 can be expressed as 3^3 * 5^3. To find the largest 2-digit number that is a factor, we need to consider the factors that are multiples of both 3 and 5. The largest 2-digit number that fits this criteria is 75, which is 3 * 5^2.

The only way for three prime numbers to have a sum of 42 is if one of the prime numbers is 2, as 2 is the only even prime number. The other two prime numbers must add up to 40, which can only be achieved by 3 and 37. Therefore, the three prime numbers that have a sum of 42 are 2, 3, and 37.

A prime number that is one more than a square number is known as a Sophie Germain prime. Sophie Germain primes are of the form 2p+1, where p is a prime number. For example, 17 is a Sophie Germain prime because it is one more than the square of 4, and both 4 and 17 are prime numbers. Sophie Germain primes have applications in number theory and cryptography.

To find the factors of any number, first check if it even. In this case YES!!! .So it will divide by '2'.

Hence

2)50 = 25

5)25 = 5

5)5 = 1

When reduced to '1' , you have all the factors viz, 2,5,5,.

Hence in exponential form it is 2^(1) x 5^(2)

Ah, let's take a moment to appreciate the beauty of prime factorization. To find the prime factors of 968, we start by dividing it by the smallest prime number, 2. After a few divisions, we find that the prime factorization of 968 is 2 x 2 x 11 x 11. Remember, each number is unique and plays a special role in creating the lovely masterpiece that is 968.

542 is a composite number because it has factors other than 1 and itself. It is not a prime number.

The four factors of 542 are 1, 2, 271, and 542.

The factor pairs of 542 are 1 x 542 and 2 x 271.

The proper factors of 542 are 1, 2, and 271 or,
if the definition you are using excludes 1, they are 2 and 271.

The prime factors of 542 are 2 and 271.

The two distinct prime factors (listing each prime factor only once) of 542 are 2 and 271.

The prime factorization of 542 is 2 x 271.

NOTE: There cannot be common factors, a greatest common factor, or a least common multiple because "common" refers to factors or multiples that two or more numbers have in common.

2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97

odd numbers

LCM is the multiple of the highest power of prime factors of two or more numbers. Since prime numbers have no other factors than themselves, the LCM of two or more prime numbers is their product. As an example, the LCM of 3, 5, and 53 is 3 x 5 x 53 = 795.

45

2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97

The prime factorization of 1,475 is: 5 x 5 x 59

Five identical prime factors : 32, 96. Four identical prime factors : 16, 48, 80, as well as 81. Three identical prime factors : 8, 24, 40, 56, 72, 88, as well as 27, 54. Two identical prime factors : All multiples of 4 not yet listed (4, 12, 20...), all multiples of 9 not yet listed (9, 18, 36...), as well as 25, 50, 75, 100, and 49 and 98. Your teacher forgot "six identical prime factors" : 64.