Prime Numbers

You have to break it down to get to prime numbers, so here it is:
130
10 13
5 2
2 x 5 x 13

To write 240 as the product of prime numbers, you need to find its prime factorization. Start by dividing 240 by the smallest prime number, 2, to get 120. Then divide 120 by 2 to get 60, and continue this process until you cannot divide any further. The prime factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5, or 2^4 x 3 x 5.

To find the number that 42 is 75% of, you can set up a proportion. Let x represent the unknown number. The proportion would be: 42 = 0.75x. To solve for x, divide both sides by 0.75, giving you x = 42 / 0.75 = 56. Therefore, 42 is 75% of 56.

A three digit number ending with 4 and 0 is obviously divisible by 2, so that leaves only 1 for the last digit. The first digit can't be 0 (that would leave us with "41" - well, that one is prime in any case), so the remaining option is 401. That one is a prime number.

2 x 3 x 3 x 5 x 5 = 450

The prime numbers between 40 and 64 are:

41 43 47 53 59 61

315

Oh, dude, prime numbers are like those cool loner numbers that only hang out with themselves and 1, right? So, if 486 wants to join the prime number club, it needs to be like, "Sorry, I'm not divisible by anything except myself and 1." But 486 is like, "Nah, I can be divided by 2, 3, 6, 9, 27, 54, 81, and 162." So yeah, 486 is not a prime number.

Oh, dude, we've got a real diva number here, causing a scene with all these remainders. So, when you divide it by 4, it's like "I've got 1 left," by 5 it's like "I've got 2 left," and by 6 it's like "I've got 3 left." The smallest number that fits this drama queen criteria is 59. It's like the perfect balance of being divided by 4, 5, and 6 and still having some leftovers to show off.

numbers between 10 and 20 is divisible by both 4 and 6 = 12 & 18

Oh, what a happy little question! Let's see... between 0 and 10, we have the prime numbers 2, 3, 5, and 7. They're like little gems shining brightly in the mathematical landscape, each one unique and special in its own way. Just like when you're painting, it's important to appreciate the beauty and simplicity of these numbers as they stand out among the others.

A prime number is any number which has only 2 factors. That is, a number that can divide only by itself and 1. For example, 29 is a prime number, as it cannot divide evenly by any number other than itself and 1. A factor of a number is any number which that original number can divide by evenly. For instance, 24 can divide by 8, so 8 is a factor of 24. However, 8 isn't prime so it isn't a prime factor of 24. The prime factors of 24 would be 2, 2, 2 and 3.

There are 21 two-digit prime numbers. The first two-digit prime number is 11, and the last two-digit prime number is 97. Prime numbers are numbers greater than 1 that are only divisible by 1 and themselves.

Oh, what a delightful question! Let's take a moment to appreciate the beauty of prime numbers. The prime numbers between 10 and 20 are 11, 13, 17, and 19. When we add them together with a gentle brushstroke of mathematics, we get a sum of 60. Happy little primes indeed!

540 = 2 x 2 x 3 x 3 x 3 x 5

No, there aren't any square numbers between 70 and 80. From 70 to 80, no number has a perfect square root, so no square number exists between 70 to 80.

Oh, dude, you're talking about a triangular pyramid! It's like a pyramid, but with a twist - literally, because it's got those isosceles triangles for faces. And hey, it's got an even number of edges to keep things interesting. So yeah, that's your shape right there.

Oh honey, let me break it down for you. If you add 10, 15, 20, and 11 together, you get 56. Simple math, darling.

There are typically 30 or 31 days in a month, and prime numbers are integers greater than 1 that have no divisors other than 1 and themselves. The prime numbers less than or equal to 31 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, and 31. Therefore, there are 11 prime number days in a month with 31 days, and 10 prime number days in a month with 30 days.

Oh, dude, let me put on my math magician hat for this one. So, we know it's an even number between 50 and 60 with digits adding up to 11. That narrows it down to just one number... drum roll, please... 52! Ta-da! Like, who needs a calculator when you have me, right?

A way to do this is to spot any obvious prime factors. In this case, 275 ends in a 5 and so is divisible by 5. Doing that gives 275/5 = 55. This is now clearly the product of 5 and 11, from times tables. Thus 275 as a product of prime numbers is 5x5x11

132 = 2 x 2 x 3 x 11 = 22 x 3 x 11

Well, honey, the odd composite factors of 50 are 5 and 25. 5 because it's a prime number, and 25 because it's just 5 squared. So, you've got those two troublemakers making up the odd composite factors of 50. Hope that clears things up for ya!

The next prime number greater than 200 is 211. A prime number is a number greater than 1 that can only be divided by 1 and itself without leaving a remainder. In this case, 211 is indivisible by any number other than 1 and 211, making it a prime number.

The only prime number among the options given is 31. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. In this case, 31 cannot be divided evenly by any other number except for 1 and 31, making it a prime number.